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Finding the Fourth Proportional to 15,513, 21,399.24 and 9,543.50

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Solution

The fourth proportional to 15,513, 21,399.24 and 9,543.50 is: 13,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513 : 21,399.24 = 9,543.50 : x
  2. Step 2: Convert to fraction form
    15,513/21,399.24 = 9,543.50/x
  3. Step 3: Cross multiply
    15,513x = 21,399.24 × 9,543.50
  4. Step 4: Simplify right side
    15,513x = 204,223,646.94
  5. Step 5: Solve for x
    x = 204,223,646.94/15,513
  6. Step 6: Final answer
    x = 13,164.68

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