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Finding the Fourth Proportional to 15,904.48, 23,863.46 and 8,507

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Solution

The fourth proportional to 15,904.48, 23,863.46 and 8,507 is: 12,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,904.48 : 23,863.46 = 8,507 : x
  2. Step 2: Convert to fraction form
    15,904.48/23,863.46 = 8,507/x
  3. Step 3: Cross multiply
    15,904.48x = 23,863.46 × 8,507
  4. Step 4: Simplify right side
    15,904.48x = 203,006,454.22
  5. Step 5: Solve for x
    x = 203,006,454.22/15,904.48
  6. Step 6: Final answer
    x = 12,764.11

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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.