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Finding the Fourth Proportional to 22,531.95, 31,097.88 and 13,580.82

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Solution

The fourth proportional to 22,531.95, 31,097.88 and 13,580.82 is: 18,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.95 : 31,097.88 = 13,580.82 : x
  2. Step 2: Convert to fraction form
    22,531.95/31,097.88 = 13,580.82/x
  3. Step 3: Cross multiply
    22,531.95x = 31,097.88 × 13,580.82
  4. Step 4: Simplify right side
    22,531.95x = 422,334,710.66
  5. Step 5: Solve for x
    x = 422,334,710.66/22,531.95
  6. Step 6: Final answer
    x = 18,743.82

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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.