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Finding the Fourth Proportional to 26,184.92, 39,276.85 and 6,463.65

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Solution

The fourth proportional to 26,184.92, 39,276.85 and 6,463.65 is: 9,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,184.92 : 39,276.85 = 6,463.65 : x
  2. Step 2: Convert to fraction form
    26,184.92/39,276.85 = 6,463.65/x
  3. Step 3: Cross multiply
    26,184.92x = 39,276.85 × 6,463.65
  4. Step 4: Simplify right side
    26,184.92x = 253,871,733.82
  5. Step 5: Solve for x
    x = 253,871,733.82/26,184.92
  6. Step 6: Final answer
    x = 9,695.34

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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.