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Finding the Fourth Proportional to 26,434.40, 39,641.40 and 7,708.16

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Solution

The fourth proportional to 26,434.40, 39,641.40 and 7,708.16 is: 11,559.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,434.40 : 39,641.40 = 7,708.16 : x
  2. Step 2: Convert to fraction form
    26,434.40/39,641.40 = 7,708.16/x
  3. Step 3: Cross multiply
    26,434.40x = 39,641.40 × 7,708.16
  4. Step 4: Simplify right side
    26,434.40x = 305,562,253.82
  5. Step 5: Solve for x
    x = 305,562,253.82/26,434.40
  6. Step 6: Final answer
    x = 11,559.27

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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.