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Finding the Fourth Proportional to 17,565.57, 24,232.37 and 10,109.25

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Solution

The fourth proportional to 17,565.57, 24,232.37 and 10,109.25 is: 13,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565.57 : 24,232.37 = 10,109.25 : x
  2. Step 2: Convert to fraction form
    17,565.57/24,232.37 = 10,109.25/x
  3. Step 3: Cross multiply
    17,565.57x = 24,232.37 × 10,109.25
  4. Step 4: Simplify right side
    17,565.57x = 244,971,035.88
  5. Step 5: Solve for x
    x = 244,971,035.88/17,565.57
  6. Step 6: Final answer
    x = 13,946.09

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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.