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Finding the Fourth Proportional to 13,047.32, 19,562.48 and 8,591.50

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Solution

The fourth proportional to 13,047.32, 19,562.48 and 8,591.50 is: 12,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.32 : 19,562.48 = 8,591.50 : x
  2. Step 2: Convert to fraction form
    13,047.32/19,562.48 = 8,591.50/x
  3. Step 3: Cross multiply
    13,047.32x = 19,562.48 × 8,591.50
  4. Step 4: Simplify right side
    13,047.32x = 168,071,046.92
  5. Step 5: Solve for x
    x = 168,071,046.92/13,047.32
  6. Step 6: Final answer
    x = 12,881.65

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Why These Related Problems?

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