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Finding the Fourth Proportional to 17,782.46, 26,690.43 and 9,023.66

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Solution

The fourth proportional to 17,782.46, 26,690.43 and 9,023.66 is: 13,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.46 : 26,690.43 = 9,023.66 : x
  2. Step 2: Convert to fraction form
    17,782.46/26,690.43 = 9,023.66/x
  3. Step 3: Cross multiply
    17,782.46x = 26,690.43 × 9,023.66
  4. Step 4: Simplify right side
    17,782.46x = 240,845,365.57
  5. Step 5: Solve for x
    x = 240,845,365.57/17,782.46
  6. Step 6: Final answer
    x = 13,543.98

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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.