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Finding the Fourth Proportional to 17,700.96, 24,426.86 and 9,634.77

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Solution

The fourth proportional to 17,700.96, 24,426.86 and 9,634.77 is: 13,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.96 : 24,426.86 = 9,634.77 : x
  2. Step 2: Convert to fraction form
    17,700.96/24,426.86 = 9,634.77/x
  3. Step 3: Cross multiply
    17,700.96x = 24,426.86 × 9,634.77
  4. Step 4: Simplify right side
    17,700.96x = 235,347,129.75
  5. Step 5: Solve for x
    x = 235,347,129.75/17,700.96
  6. Step 6: Final answer
    x = 13,295.72

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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.