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Finding the Fourth Proportional to 16,272.68, 24,409.01 and 5,882.00

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Solution

The fourth proportional to 16,272.68, 24,409.01 and 5,882.00 is: 8,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,272.68 : 24,409.01 = 5,882.00 : x
  2. Step 2: Convert to fraction form
    16,272.68/24,409.01 = 5,882.00/x
  3. Step 3: Cross multiply
    16,272.68x = 24,409.01 × 5,882.00
  4. Step 4: Simplify right side
    16,272.68x = 143,573,689.48
  5. Step 5: Solve for x
    x = 143,573,689.48/16,272.68
  6. Step 6: Final answer
    x = 8,822.99

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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.