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Finding the Fourth Proportional to 16,826.92, 25,243.98 and 5,141

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Solution

The fourth proportional to 16,826.92, 25,243.98 and 5,141 is: 7,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,826.92 : 25,243.98 = 5,141 : x
  2. Step 2: Convert to fraction form
    16,826.92/25,243.98 = 5,141/x
  3. Step 3: Cross multiply
    16,826.92x = 25,243.98 × 5,141
  4. Step 4: Simplify right side
    16,826.92x = 129,779,301.18
  5. Step 5: Solve for x
    x = 129,779,301.18/16,826.92
  6. Step 6: Final answer
    x = 7,712.60

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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.