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Finding the Fourth Proportional to 22,603.82, 31,192.01 and 12,531.66

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Solution

The fourth proportional to 22,603.82, 31,192.01 and 12,531.66 is: 17,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,603.82 : 31,192.01 = 12,531.66 : x
  2. Step 2: Convert to fraction form
    22,603.82/31,192.01 = 12,531.66/x
  3. Step 3: Cross multiply
    22,603.82x = 31,192.01 × 12,531.66
  4. Step 4: Simplify right side
    22,603.82x = 390,887,601.38
  5. Step 5: Solve for x
    x = 390,887,601.38/22,603.82
  6. Step 6: Final answer
    x = 17,292.99

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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.