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Finding the Fourth Proportional to 17,700.86, 24,427.37 and 9,743.25

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Solution

The fourth proportional to 17,700.86, 24,427.37 and 9,743.25 is: 13,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.86 : 24,427.37 = 9,743.25 : x
  2. Step 2: Convert to fraction form
    17,700.86/24,427.37 = 9,743.25/x
  3. Step 3: Cross multiply
    17,700.86x = 24,427.37 × 9,743.25
  4. Step 4: Simplify right side
    17,700.86x = 238,001,924.04
  5. Step 5: Solve for x
    x = 238,001,924.04/17,700.86
  6. Step 6: Final answer
    x = 13,445.78

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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.