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Finding the Fourth Proportional to 22,799.78, 31,462.87 and 14,306.47

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Solution

The fourth proportional to 22,799.78, 31,462.87 and 14,306.47 is: 19,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,799.78 : 31,462.87 = 14,306.47 : x
  2. Step 2: Convert to fraction form
    22,799.78/31,462.87 = 14,306.47/x
  3. Step 3: Cross multiply
    22,799.78x = 31,462.87 × 14,306.47
  4. Step 4: Simplify right side
    22,799.78x = 450,122,605.77
  5. Step 5: Solve for x
    x = 450,122,605.77/22,799.78
  6. Step 6: Final answer
    x = 19,742.41

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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.