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Finding the Fourth Proportional to 17,785.10, 26,693.80 and 9,472.16

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Solution

The fourth proportional to 17,785.10, 26,693.80 and 9,472.16 is: 14,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.10 : 26,693.80 = 9,472.16 : x
  2. Step 2: Convert to fraction form
    17,785.10/26,693.80 = 9,472.16/x
  3. Step 3: Cross multiply
    17,785.10x = 26,693.80 × 9,472.16
  4. Step 4: Simplify right side
    17,785.10x = 252,847,987.66
  5. Step 5: Solve for x
    x = 252,847,987.66/17,785.10
  6. Step 6: Final answer
    x = 14,216.84

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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.