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Finding the Fourth Proportional to 27,114.08, 40,638.72 and 15,411.20

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Solution

The fourth proportional to 27,114.08, 40,638.72 and 15,411.20 is: 23,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.08 : 40,638.72 = 15,411.20 : x
  2. Step 2: Convert to fraction form
    27,114.08/40,638.72 = 15,411.20/x
  3. Step 3: Cross multiply
    27,114.08x = 40,638.72 × 15,411.20
  4. Step 4: Simplify right side
    27,114.08x = 626,291,441.66
  5. Step 5: Solve for x
    x = 626,291,441.66/27,114.08
  6. Step 6: Final answer
    x = 23,098.38

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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.