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Finding the Fourth Proportional to 26,429.57, 39,618.93 and 9,785.08

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Solution

The fourth proportional to 26,429.57, 39,618.93 and 9,785.08 is: 14,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,429.57 : 39,618.93 = 9,785.08 : x
  2. Step 2: Convert to fraction form
    26,429.57/39,618.93 = 9,785.08/x
  3. Step 3: Cross multiply
    26,429.57x = 39,618.93 × 9,785.08
  4. Step 4: Simplify right side
    26,429.57x = 387,674,399.56
  5. Step 5: Solve for x
    x = 387,674,399.56/26,429.57
  6. Step 6: Final answer
    x = 14,668.21

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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.