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Finding the Fourth Proportional to 12,591.89, 18,872.35 and 5,564.33

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Solution

The fourth proportional to 12,591.89, 18,872.35 and 5,564.33 is: 8,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.89 : 18,872.35 = 5,564.33 : x
  2. Step 2: Convert to fraction form
    12,591.89/18,872.35 = 5,564.33/x
  3. Step 3: Cross multiply
    12,591.89x = 18,872.35 × 5,564.33
  4. Step 4: Simplify right side
    12,591.89x = 105,011,955.45
  5. Step 5: Solve for x
    x = 105,011,955.45/12,591.89
  6. Step 6: Final answer
    x = 8,339.65

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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.