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Finding the Fourth Proportional to 26,425.60, 39,643.57 and 9,785.78

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Solution

The fourth proportional to 26,425.60, 39,643.57 and 9,785.78 is: 14,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,425.60 : 39,643.57 = 9,785.78 : x
  2. Step 2: Convert to fraction form
    26,425.60/39,643.57 = 9,785.78/x
  3. Step 3: Cross multiply
    26,425.60x = 39,643.57 × 9,785.78
  4. Step 4: Simplify right side
    26,425.60x = 387,943,254.43
  5. Step 5: Solve for x
    x = 387,943,254.43/26,425.60
  6. Step 6: Final answer
    x = 14,680.58

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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.