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Finding the Fourth Proportional to 17,655.57, 24,364.80 and 9,697.73

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Solution

The fourth proportional to 17,655.57, 24,364.80 and 9,697.73 is: 13,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.57 : 24,364.80 = 9,697.73 : x
  2. Step 2: Convert to fraction form
    17,655.57/24,364.80 = 9,697.73/x
  3. Step 3: Cross multiply
    17,655.57x = 24,364.80 × 9,697.73
  4. Step 4: Simplify right side
    17,655.57x = 236,283,130.08
  5. Step 5: Solve for x
    x = 236,283,130.08/17,655.57
  6. Step 6: Final answer
    x = 13,382.92

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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.