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Finding the Fourth Proportional to 27,642.14, 41,430.40 and 15,931.16

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Solution

The fourth proportional to 27,642.14, 41,430.40 and 15,931.16 is: 23,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.14 : 41,430.40 = 15,931.16 : x
  2. Step 2: Convert to fraction form
    27,642.14/41,430.40 = 15,931.16/x
  3. Step 3: Cross multiply
    27,642.14x = 41,430.40 × 15,931.16
  4. Step 4: Simplify right side
    27,642.14x = 660,034,084.28
  5. Step 5: Solve for x
    x = 660,034,084.28/27,642.14
  6. Step 6: Final answer
    x = 23,877.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.