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Finding the Fourth Proportional to 17,869.12, 24,657.27 and 9,909.40

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Solution

The fourth proportional to 17,869.12, 24,657.27 and 9,909.40 is: 13,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869.12 : 24,657.27 = 9,909.40 : x
  2. Step 2: Convert to fraction form
    17,869.12/24,657.27 = 9,909.40/x
  3. Step 3: Cross multiply
    17,869.12x = 24,657.27 × 9,909.40
  4. Step 4: Simplify right side
    17,869.12x = 244,338,751.34
  5. Step 5: Solve for x
    x = 244,338,751.34/17,869.12
  6. Step 6: Final answer
    x = 13,673.80

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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.