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Finding the Fourth Proportional to 15,591.72, 23,397.06 and 8,201.46

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Solution

The fourth proportional to 15,591.72, 23,397.06 and 8,201.46 is: 12,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,591.72 : 23,397.06 = 8,201.46 : x
  2. Step 2: Convert to fraction form
    15,591.72/23,397.06 = 8,201.46/x
  3. Step 3: Cross multiply
    15,591.72x = 23,397.06 × 8,201.46
  4. Step 4: Simplify right side
    15,591.72x = 191,890,051.71
  5. Step 5: Solve for x
    x = 191,890,051.71/15,591.72
  6. Step 6: Final answer
    x = 12,307.18

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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.