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Finding the Fourth Proportional to 26,405.66, 39,614.70 and 7,686.10

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Solution

The fourth proportional to 26,405.66, 39,614.70 and 7,686.10 is: 11,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,405.66 : 39,614.70 = 7,686.10 : x
  2. Step 2: Convert to fraction form
    26,405.66/39,614.70 = 7,686.10/x
  3. Step 3: Cross multiply
    26,405.66x = 39,614.70 × 7,686.10
  4. Step 4: Simplify right side
    26,405.66x = 304,482,545.67
  5. Step 5: Solve for x
    x = 304,482,545.67/26,405.66
  6. Step 6: Final answer
    x = 11,530.96

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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.