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Finding the Fourth Proportional to 22,609.82, 31,200.02 and 12,537.88

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Solution

The fourth proportional to 22,609.82, 31,200.02 and 12,537.88 is: 17,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.82 : 31,200.02 = 12,537.88 : x
  2. Step 2: Convert to fraction form
    22,609.82/31,200.02 = 12,537.88/x
  3. Step 3: Cross multiply
    22,609.82x = 31,200.02 × 12,537.88
  4. Step 4: Simplify right side
    22,609.82x = 391,182,106.76
  5. Step 5: Solve for x
    x = 391,182,106.76/22,609.82
  6. Step 6: Final answer
    x = 17,301.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.