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Finding the Fourth Proportional to 23,233.40, 32,064.84 and 13,802

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Solution

The fourth proportional to 23,233.40, 32,064.84 and 13,802 is: 19,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,233.40 : 32,064.84 = 13,802 : x
  2. Step 2: Convert to fraction form
    23,233.40/32,064.84 = 13,802/x
  3. Step 3: Cross multiply
    23,233.40x = 32,064.84 × 13,802
  4. Step 4: Simplify right side
    23,233.40x = 442,558,921.68
  5. Step 5: Solve for x
    x = 442,558,921.68/23,233.40
  6. Step 6: Final answer
    x = 19,048.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.