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Finding the Fourth Proportional to 16,882.72, 23,293.04 and 9,807.76

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Solution

The fourth proportional to 16,882.72, 23,293.04 and 9,807.76 is: 13,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,882.72 : 23,293.04 = 9,807.76 : x
  2. Step 2: Convert to fraction form
    16,882.72/23,293.04 = 9,807.76/x
  3. Step 3: Cross multiply
    16,882.72x = 23,293.04 × 9,807.76
  4. Step 4: Simplify right side
    16,882.72x = 228,452,545.99
  5. Step 5: Solve for x
    x = 228,452,545.99/16,882.72
  6. Step 6: Final answer
    x = 13,531.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.