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Finding the Fourth Proportional to 24,515.28, 36,767.36 and 6,984.72

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Solution

The fourth proportional to 24,515.28, 36,767.36 and 6,984.72 is: 10,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515.28 : 36,767.36 = 6,984.72 : x
  2. Step 2: Convert to fraction form
    24,515.28/36,767.36 = 6,984.72/x
  3. Step 3: Cross multiply
    24,515.28x = 36,767.36 × 6,984.72
  4. Step 4: Simplify right side
    24,515.28x = 256,809,714.74
  5. Step 5: Solve for x
    x = 256,809,714.74/24,515.28
  6. Step 6: Final answer
    x = 10,475.50

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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.