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Finding the Fourth Proportional to 15,482.54, 23,217.87 and 6,592.24

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Solution

The fourth proportional to 15,482.54, 23,217.87 and 6,592.24 is: 9,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,482.54 : 23,217.87 = 6,592.24 : x
  2. Step 2: Convert to fraction form
    15,482.54/23,217.87 = 6,592.24/x
  3. Step 3: Cross multiply
    15,482.54x = 23,217.87 × 6,592.24
  4. Step 4: Simplify right side
    15,482.54x = 153,057,669.75
  5. Step 5: Solve for x
    x = 153,057,669.75/15,482.54
  6. Step 6: Final answer
    x = 9,885.82

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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.