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Finding the Fourth Proportional to 22,640.13, 31,244.40 and 12,568.71

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Solution

The fourth proportional to 22,640.13, 31,244.40 and 12,568.71 is: 17,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.13 : 31,244.40 = 12,568.71 : x
  2. Step 2: Convert to fraction form
    22,640.13/31,244.40 = 12,568.71/x
  3. Step 3: Cross multiply
    22,640.13x = 31,244.40 × 12,568.71
  4. Step 4: Simplify right side
    22,640.13x = 392,701,802.72
  5. Step 5: Solve for x
    x = 392,701,802.72/22,640.13
  6. Step 6: Final answer
    x = 17,345.39

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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.