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Finding the Fourth Proportional to 15,884.08, 23,827.23 and 6,524.57

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Solution

The fourth proportional to 15,884.08, 23,827.23 and 6,524.57 is: 9,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.08 : 23,827.23 = 6,524.57 : x
  2. Step 2: Convert to fraction form
    15,884.08/23,827.23 = 6,524.57/x
  3. Step 3: Cross multiply
    15,884.08x = 23,827.23 × 6,524.57
  4. Step 4: Simplify right side
    15,884.08x = 155,462,489.61
  5. Step 5: Solve for x
    x = 155,462,489.61/15,884.08
  6. Step 6: Final answer
    x = 9,787.32

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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.