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Finding the Fourth Proportional to 26,411.68, 39,608.34 and 7,686.64

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Solution

The fourth proportional to 26,411.68, 39,608.34 and 7,686.64 is: 11,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,411.68 : 39,608.34 = 7,686.64 : x
  2. Step 2: Convert to fraction form
    26,411.68/39,608.34 = 7,686.64/x
  3. Step 3: Cross multiply
    26,411.68x = 39,608.34 × 7,686.64
  4. Step 4: Simplify right side
    26,411.68x = 304,455,050.58
  5. Step 5: Solve for x
    x = 304,455,050.58/26,411.68
  6. Step 6: Final answer
    x = 11,527.29

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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.