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Finding the Fourth Proportional to 22,597.17, 31,145.15 and 15,029.97

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Solution

The fourth proportional to 22,597.17, 31,145.15 and 15,029.97 is: 20,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.17 : 31,145.15 = 15,029.97 : x
  2. Step 2: Convert to fraction form
    22,597.17/31,145.15 = 15,029.97/x
  3. Step 3: Cross multiply
    22,597.17x = 31,145.15 × 15,029.97
  4. Step 4: Simplify right side
    22,597.17x = 468,110,506.38
  5. Step 5: Solve for x
    x = 468,110,506.38/22,597.17
  6. Step 6: Final answer
    x = 20,715.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.