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Finding the Fourth Proportional to 26,478, 39,691.92 and 9,826.72

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Solution

The fourth proportional to 26,478, 39,691.92 and 9,826.72 is: 14,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478 : 39,691.92 = 9,826.72 : x
  2. Step 2: Convert to fraction form
    26,478/39,691.92 = 9,826.72/x
  3. Step 3: Cross multiply
    26,478x = 39,691.92 × 9,826.72
  4. Step 4: Simplify right side
    26,478x = 390,041,384.10
  5. Step 5: Solve for x
    x = 390,041,384.10/26,478
  6. Step 6: Final answer
    x = 14,730.77

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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.