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Finding the Fourth Proportional to 13,209.48, 19,814.22 and 7,053.48

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Solution

The fourth proportional to 13,209.48, 19,814.22 and 7,053.48 is: 10,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.48 : 19,814.22 = 7,053.48 : x
  2. Step 2: Convert to fraction form
    13,209.48/19,814.22 = 7,053.48/x
  3. Step 3: Cross multiply
    13,209.48x = 19,814.22 × 7,053.48
  4. Step 4: Simplify right side
    13,209.48x = 139,759,204.49
  5. Step 5: Solve for x
    x = 139,759,204.49/13,209.48
  6. Step 6: Final answer
    x = 10,580.22

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.