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Finding the Fourth Proportional to 22,466, 31,003.08 and 12,530

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Solution

The fourth proportional to 22,466, 31,003.08 and 12,530 is: 17,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,466 : 31,003.08 = 12,530 : x
  2. Step 2: Convert to fraction form
    22,466/31,003.08 = 12,530/x
  3. Step 3: Cross multiply
    22,466x = 31,003.08 × 12,530
  4. Step 4: Simplify right side
    22,466x = 388,468,592.40
  5. Step 5: Solve for x
    x = 388,468,592.40/22,466
  6. Step 6: Final answer
    x = 17,291.40

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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.