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Finding the Fourth Proportional to 24,153.12, 36,219.36 and 7,509.12

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Solution

The fourth proportional to 24,153.12, 36,219.36 and 7,509.12 is: 11,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,153.12 : 36,219.36 = 7,509.12 : x
  2. Step 2: Convert to fraction form
    24,153.12/36,219.36 = 7,509.12/x
  3. Step 3: Cross multiply
    24,153.12x = 36,219.36 × 7,509.12
  4. Step 4: Simplify right side
    24,153.12x = 271,975,520.56
  5. Step 5: Solve for x
    x = 271,975,520.56/24,153.12
  6. Step 6: Final answer
    x = 11,260.47

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1.5x scale

Why These Related Problems?

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