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Finding the Fourth Proportional to 27,122.90, 40,684.48 and 9,592.74

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Solution

The fourth proportional to 27,122.90, 40,684.48 and 9,592.74 is: 14,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122.90 : 40,684.48 = 9,592.74 : x
  2. Step 2: Convert to fraction form
    27,122.90/40,684.48 = 9,592.74/x
  3. Step 3: Cross multiply
    27,122.90x = 40,684.48 × 9,592.74
  4. Step 4: Simplify right side
    27,122.90x = 390,275,614.69
  5. Step 5: Solve for x
    x = 390,275,614.69/27,122.90
  6. Step 6: Final answer
    x = 14,389.16

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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.