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Finding the Fourth Proportional to 22,463.78, 31,000.47 and 13,032.95

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Solution

The fourth proportional to 22,463.78, 31,000.47 and 13,032.95 is: 17,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.78 : 31,000.47 = 13,032.95 : x
  2. Step 2: Convert to fraction form
    22,463.78/31,000.47 = 13,032.95/x
  3. Step 3: Cross multiply
    22,463.78x = 31,000.47 × 13,032.95
  4. Step 4: Simplify right side
    22,463.78x = 404,027,575.49
  5. Step 5: Solve for x
    x = 404,027,575.49/22,463.78
  6. Step 6: Final answer
    x = 17,985.73

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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.