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Finding the Fourth Proportional to 17,785.13, 26,681.75 and 6,097.64

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Solution

The fourth proportional to 17,785.13, 26,681.75 and 6,097.64 is: 9,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.13 : 26,681.75 = 6,097.64 : x
  2. Step 2: Convert to fraction form
    17,785.13/26,681.75 = 6,097.64/x
  3. Step 3: Cross multiply
    17,785.13x = 26,681.75 × 6,097.64
  4. Step 4: Simplify right side
    17,785.13x = 162,695,675.58
  5. Step 5: Solve for x
    x = 162,695,675.58/17,785.13
  6. Step 6: Final answer
    x = 9,147.85

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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.