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Finding the Fourth Proportional to 14,323.49, 21,472.25 and 7,741.99

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Solution

The fourth proportional to 14,323.49, 21,472.25 and 7,741.99 is: 11,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.49 : 21,472.25 = 7,741.99 : x
  2. Step 2: Convert to fraction form
    14,323.49/21,472.25 = 7,741.99/x
  3. Step 3: Cross multiply
    14,323.49x = 21,472.25 × 7,741.99
  4. Step 4: Simplify right side
    14,323.49x = 166,237,812.13
  5. Step 5: Solve for x
    x = 166,237,812.13/14,323.49
  6. Step 6: Final answer
    x = 11,605.96

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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.