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Finding the Fourth Proportional to 17,782.27, 26,690.15 and 9,023.47

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Solution

The fourth proportional to 17,782.27, 26,690.15 and 9,023.47 is: 13,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.27 : 26,690.15 = 9,023.47 : x
  2. Step 2: Convert to fraction form
    17,782.27/26,690.15 = 9,023.47/x
  3. Step 3: Cross multiply
    17,782.27x = 26,690.15 × 9,023.47
  4. Step 4: Simplify right side
    17,782.27x = 240,837,767.82
  5. Step 5: Solve for x
    x = 240,837,767.82/17,782.27
  6. Step 6: Final answer
    x = 13,543.70

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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.