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Finding the Fourth Proportional to 22,613.47, 31,208.51 and 12,545.16

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Solution

The fourth proportional to 22,613.47, 31,208.51 and 12,545.16 is: 17,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,613.47 : 31,208.51 = 12,545.16 : x
  2. Step 2: Convert to fraction form
    22,613.47/31,208.51 = 12,545.16/x
  3. Step 3: Cross multiply
    22,613.47x = 31,208.51 × 12,545.16
  4. Step 4: Simplify right side
    22,613.47x = 391,515,751.31
  5. Step 5: Solve for x
    x = 391,515,751.31/22,613.47
  6. Step 6: Final answer
    x = 17,313.39

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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.