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Finding the Fourth Proportional to 24,145.20, 36,224.64 and 8,564.40

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Solution

The fourth proportional to 24,145.20, 36,224.64 and 8,564.40 is: 12,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.20 : 36,224.64 = 8,564.40 : x
  2. Step 2: Convert to fraction form
    24,145.20/36,224.64 = 8,564.40/x
  3. Step 3: Cross multiply
    24,145.20x = 36,224.64 × 8,564.40
  4. Step 4: Simplify right side
    24,145.20x = 310,242,306.82
  5. Step 5: Solve for x
    x = 310,242,306.82/24,145.20
  6. Step 6: Final answer
    x = 12,849.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.