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Finding the Fourth Proportional to 22,808.38, 31,459.72 and 15,638.95

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Solution

The fourth proportional to 22,808.38, 31,459.72 and 15,638.95 is: 21,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,808.38 : 31,459.72 = 15,638.95 : x
  2. Step 2: Convert to fraction form
    22,808.38/31,459.72 = 15,638.95/x
  3. Step 3: Cross multiply
    22,808.38x = 31,459.72 × 15,638.95
  4. Step 4: Simplify right side
    22,808.38x = 491,996,988.09
  5. Step 5: Solve for x
    x = 491,996,988.09/22,808.38
  6. Step 6: Final answer
    x = 21,570.89

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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.