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Finding the Fourth Proportional to 22,603.22, 31,189.40 and 12,531.14

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Solution

The fourth proportional to 22,603.22, 31,189.40 and 12,531.14 is: 17,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,603.22 : 31,189.40 = 12,531.14 : x
  2. Step 2: Convert to fraction form
    22,603.22/31,189.40 = 12,531.14/x
  3. Step 3: Cross multiply
    22,603.22x = 31,189.40 × 12,531.14
  4. Step 4: Simplify right side
    22,603.22x = 390,838,737.92
  5. Step 5: Solve for x
    x = 390,838,737.92/22,603.22
  6. Step 6: Final answer
    x = 17,291.29

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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.