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Finding the Fourth Proportional to 17,773.48, 24,525.31 and 9,815.23

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Solution

The fourth proportional to 17,773.48, 24,525.31 and 9,815.23 is: 13,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,773.48 : 24,525.31 = 9,815.23 : x
  2. Step 2: Convert to fraction form
    17,773.48/24,525.31 = 9,815.23/x
  3. Step 3: Cross multiply
    17,773.48x = 24,525.31 × 9,815.23
  4. Step 4: Simplify right side
    17,773.48x = 240,721,417.43
  5. Step 5: Solve for x
    x = 240,721,417.43/17,773.48
  6. Step 6: Final answer
    x = 13,543.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.