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Finding the Fourth Proportional to 17,700.27, 24,426.38 and 9,742.32

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Solution

The fourth proportional to 17,700.27, 24,426.38 and 9,742.32 is: 13,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.27 : 24,426.38 = 9,742.32 : x
  2. Step 2: Convert to fraction form
    17,700.27/24,426.38 = 9,742.32/x
  3. Step 3: Cross multiply
    17,700.27x = 24,426.38 × 9,742.32
  4. Step 4: Simplify right side
    17,700.27x = 237,969,610.40
  5. Step 5: Solve for x
    x = 237,969,610.40/17,700.27
  6. Step 6: Final answer
    x = 13,444.41

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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.