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Finding the Fourth Proportional to 22,539, 31,103.82 and 12,603

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Solution

The fourth proportional to 22,539, 31,103.82 and 12,603 is: 17,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,539 : 31,103.82 = 12,603 : x
  2. Step 2: Convert to fraction form
    22,539/31,103.82 = 12,603/x
  3. Step 3: Cross multiply
    22,539x = 31,103.82 × 12,603
  4. Step 4: Simplify right side
    22,539x = 392,001,443.46
  5. Step 5: Solve for x
    x = 392,001,443.46/22,539
  6. Step 6: Final answer
    x = 17,392.14

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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.