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Finding the Fourth Proportional to 11,142.48, 15,381.72 and 9,624

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Solution

The fourth proportional to 11,142.48, 15,381.72 and 9,624 is: 13,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.48 : 15,381.72 = 9,624 : x
  2. Step 2: Convert to fraction form
    11,142.48/15,381.72 = 9,624/x
  3. Step 3: Cross multiply
    11,142.48x = 15,381.72 × 9,624
  4. Step 4: Simplify right side
    11,142.48x = 148,033,673.28
  5. Step 5: Solve for x
    x = 148,033,673.28/11,142.48
  6. Step 6: Final answer
    x = 13,285.52

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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.