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Finding the Fourth Proportional to 22,532.28, 31,089.74 and 13,095.78

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Solution

The fourth proportional to 22,532.28, 31,089.74 and 13,095.78 is: 18,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.28 : 31,089.74 = 13,095.78 : x
  2. Step 2: Convert to fraction form
    22,532.28/31,089.74 = 13,095.78/x
  3. Step 3: Cross multiply
    22,532.28x = 31,089.74 × 13,095.78
  4. Step 4: Simplify right side
    22,532.28x = 407,144,329.82
  5. Step 5: Solve for x
    x = 407,144,329.82/22,532.28
  6. Step 6: Final answer
    x = 18,069.38

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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.