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Finding the Fourth Proportional to 17,653.47, 26,473.17 and 7,785.75

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Solution

The fourth proportional to 17,653.47, 26,473.17 and 7,785.75 is: 11,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.47 : 26,473.17 = 7,785.75 : x
  2. Step 2: Convert to fraction form
    17,653.47/26,473.17 = 7,785.75/x
  3. Step 3: Cross multiply
    17,653.47x = 26,473.17 × 7,785.75
  4. Step 4: Simplify right side
    17,653.47x = 206,113,483.33
  5. Step 5: Solve for x
    x = 206,113,483.33/17,653.47
  6. Step 6: Final answer
    x = 11,675.52

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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.