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Finding the Fourth Proportional to 17,866.58, 24,655.25 and 9,909.54

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Solution

The fourth proportional to 17,866.58, 24,655.25 and 9,909.54 is: 13,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.58 : 24,655.25 = 9,909.54 : x
  2. Step 2: Convert to fraction form
    17,866.58/24,655.25 = 9,909.54/x
  3. Step 3: Cross multiply
    17,866.58x = 24,655.25 × 9,909.54
  4. Step 4: Simplify right side
    17,866.58x = 244,322,272.50
  5. Step 5: Solve for x
    x = 244,322,272.50/17,866.58
  6. Step 6: Final answer
    x = 13,674.82

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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.