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Finding the Fourth Proportional to 21,298.30, 31,951.29 and 7,257.55

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Solution

The fourth proportional to 21,298.30, 31,951.29 and 7,257.55 is: 10,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,298.30 : 31,951.29 = 7,257.55 : x
  2. Step 2: Convert to fraction form
    21,298.30/31,951.29 = 7,257.55/x
  3. Step 3: Cross multiply
    21,298.30x = 31,951.29 × 7,257.55
  4. Step 4: Simplify right side
    21,298.30x = 231,888,084.74
  5. Step 5: Solve for x
    x = 231,888,084.74/21,298.30
  6. Step 6: Final answer
    x = 10,887.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.