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Finding the Fourth Proportional to 22,615.82, 31,209.91 and 12,545.18

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Solution

The fourth proportional to 22,615.82, 31,209.91 and 12,545.18 is: 17,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.82 : 31,209.91 = 12,545.18 : x
  2. Step 2: Convert to fraction form
    22,615.82/31,209.91 = 12,545.18/x
  3. Step 3: Cross multiply
    22,615.82x = 31,209.91 × 12,545.18
  4. Step 4: Simplify right side
    22,615.82x = 391,533,751.32
  5. Step 5: Solve for x
    x = 391,533,751.32/22,615.82
  6. Step 6: Final answer
    x = 17,312.39

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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.