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Finding the Fourth Proportional to 24,207.20, 36,289.20 and 9,411.20

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Solution

The fourth proportional to 24,207.20, 36,289.20 and 9,411.20 is: 14,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207.20 : 36,289.20 = 9,411.20 : x
  2. Step 2: Convert to fraction form
    24,207.20/36,289.20 = 9,411.20/x
  3. Step 3: Cross multiply
    24,207.20x = 36,289.20 × 9,411.20
  4. Step 4: Simplify right side
    24,207.20x = 341,524,919.04
  5. Step 5: Solve for x
    x = 341,524,919.04/24,207.20
  6. Step 6: Final answer
    x = 14,108.40

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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.