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Finding the Fourth Proportional to 22,802.87, 31,465.14 and 12,731.87

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Solution

The fourth proportional to 22,802.87, 31,465.14 and 12,731.87 is: 17,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.87 : 31,465.14 = 12,731.87 : x
  2. Step 2: Convert to fraction form
    22,802.87/31,465.14 = 12,731.87/x
  3. Step 3: Cross multiply
    22,802.87x = 31,465.14 × 12,731.87
  4. Step 4: Simplify right side
    22,802.87x = 400,610,072.01
  5. Step 5: Solve for x
    x = 400,610,072.01/22,802.87
  6. Step 6: Final answer
    x = 17,568.41

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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.