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Finding the Fourth Proportional to 22,543.59, 31,109.99 and 12,607.59

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Solution

The fourth proportional to 22,543.59, 31,109.99 and 12,607.59 is: 17,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.59 : 31,109.99 = 12,607.59 : x
  2. Step 2: Convert to fraction form
    22,543.59/31,109.99 = 12,607.59/x
  3. Step 3: Cross multiply
    22,543.59x = 31,109.99 × 12,607.59
  4. Step 4: Simplify right side
    22,543.59x = 392,221,935.79
  5. Step 5: Solve for x
    x = 392,221,935.79/22,543.59
  6. Step 6: Final answer
    x = 17,398.38

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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.