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Finding the Fourth Proportional to 13,432.16, 18,535.53 and 7,463.48

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Solution

The fourth proportional to 13,432.16, 18,535.53 and 7,463.48 is: 10,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.16 : 18,535.53 = 7,463.48 : x
  2. Step 2: Convert to fraction form
    13,432.16/18,535.53 = 7,463.48/x
  3. Step 3: Cross multiply
    13,432.16x = 18,535.53 × 7,463.48
  4. Step 4: Simplify right side
    13,432.16x = 138,339,557.44
  5. Step 5: Solve for x
    x = 138,339,557.44/13,432.16
  6. Step 6: Final answer
    x = 10,299.13

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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.