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Finding the Fourth Proportional to 22,656.50, 31,266.01 and 12,584.68

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Solution

The fourth proportional to 22,656.50, 31,266.01 and 12,584.68 is: 17,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.50 : 31,266.01 = 12,584.68 : x
  2. Step 2: Convert to fraction form
    22,656.50/31,266.01 = 12,584.68/x
  3. Step 3: Cross multiply
    22,656.50x = 31,266.01 × 12,584.68
  4. Step 4: Simplify right side
    22,656.50x = 393,472,730.73
  5. Step 5: Solve for x
    x = 393,472,730.73/22,656.50
  6. Step 6: Final answer
    x = 17,366.88

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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.