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Finding the Fourth Proportional to 30,142.80, 41,588.64 and 17,565.12

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Solution

The fourth proportional to 30,142.80, 41,588.64 and 17,565.12 is: 24,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.80 : 41,588.64 = 17,565.12 : x
  2. Step 2: Convert to fraction form
    30,142.80/41,588.64 = 17,565.12/x
  3. Step 3: Cross multiply
    30,142.80x = 41,588.64 × 17,565.12
  4. Step 4: Simplify right side
    30,142.80x = 730,509,452.24
  5. Step 5: Solve for x
    x = 730,509,452.24/30,142.80
  6. Step 6: Final answer
    x = 24,234.96

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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.