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Finding the Fourth Proportional to 22,549.61, 31,130.99 and 13,599.38

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Solution

The fourth proportional to 22,549.61, 31,130.99 and 13,599.38 is: 18,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.61 : 31,130.99 = 13,599.38 : x
  2. Step 2: Convert to fraction form
    22,549.61/31,130.99 = 13,599.38/x
  3. Step 3: Cross multiply
    22,549.61x = 31,130.99 × 13,599.38
  4. Step 4: Simplify right side
    22,549.61x = 423,361,939.13
  5. Step 5: Solve for x
    x = 423,361,939.13/22,549.61
  6. Step 6: Final answer
    x = 18,774.69

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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.