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Finding the Fourth Proportional to 15,142.39, 22,718.24 and 7,752.04

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Solution

The fourth proportional to 15,142.39, 22,718.24 and 7,752.04 is: 11,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.39 : 22,718.24 = 7,752.04 : x
  2. Step 2: Convert to fraction form
    15,142.39/22,718.24 = 7,752.04/x
  3. Step 3: Cross multiply
    15,142.39x = 22,718.24 × 7,752.04
  4. Step 4: Simplify right side
    15,142.39x = 176,112,638.72
  5. Step 5: Solve for x
    x = 176,112,638.72/15,142.39
  6. Step 6: Final answer
    x = 11,630.44

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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.