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Finding the Fourth Proportional to 22,656.53, 31,264.67 and 12,584.39

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Solution

The fourth proportional to 22,656.53, 31,264.67 and 12,584.39 is: 17,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.53 : 31,264.67 = 12,584.39 : x
  2. Step 2: Convert to fraction form
    22,656.53/31,264.67 = 12,584.39/x
  3. Step 3: Cross multiply
    22,656.53x = 31,264.67 × 12,584.39
  4. Step 4: Simplify right side
    22,656.53x = 393,446,581.26
  5. Step 5: Solve for x
    x = 393,446,581.26/22,656.53
  6. Step 6: Final answer
    x = 17,365.71

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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.