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Finding the Fourth Proportional to 26,439, 39,658.74 and 8,669.40

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Solution

The fourth proportional to 26,439, 39,658.74 and 8,669.40 is: 13,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,439 : 39,658.74 = 8,669.40 : x
  2. Step 2: Convert to fraction form
    26,439/39,658.74 = 8,669.40/x
  3. Step 3: Cross multiply
    26,439x = 39,658.74 × 8,669.40
  4. Step 4: Simplify right side
    26,439x = 343,817,480.56
  5. Step 5: Solve for x
    x = 343,817,480.56/26,439
  6. Step 6: Final answer
    x = 13,004.18

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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.