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Finding the Fourth Proportional to 22,582.53, 31,169.07 and 15,029.17

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Solution

The fourth proportional to 22,582.53, 31,169.07 and 15,029.17 is: 20,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.53 : 31,169.07 = 15,029.17 : x
  2. Step 2: Convert to fraction form
    22,582.53/31,169.07 = 15,029.17/x
  3. Step 3: Cross multiply
    22,582.53x = 31,169.07 × 15,029.17
  4. Step 4: Simplify right side
    22,582.53x = 468,445,176.63
  5. Step 5: Solve for x
    x = 468,445,176.63/22,582.53
  6. Step 6: Final answer
    x = 20,743.70

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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.