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Finding the Fourth Proportional to 22,702.18, 31,328.85 and 12,493.83

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Solution

The fourth proportional to 22,702.18, 31,328.85 and 12,493.83 is: 17,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.18 : 31,328.85 = 12,493.83 : x
  2. Step 2: Convert to fraction form
    22,702.18/31,328.85 = 12,493.83/x
  3. Step 3: Cross multiply
    22,702.18x = 31,328.85 × 12,493.83
  4. Step 4: Simplify right side
    22,702.18x = 391,417,326.00
  5. Step 5: Solve for x
    x = 391,417,326.00/22,702.18
  6. Step 6: Final answer
    x = 17,241.40

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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.