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Finding the Fourth Proportional to 24,507.76, 36,754.08 and 7,867.12

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Solution

The fourth proportional to 24,507.76, 36,754.08 and 7,867.12 is: 11,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.76 : 36,754.08 = 7,867.12 : x
  2. Step 2: Convert to fraction form
    24,507.76/36,754.08 = 7,867.12/x
  3. Step 3: Cross multiply
    24,507.76x = 36,754.08 × 7,867.12
  4. Step 4: Simplify right side
    24,507.76x = 289,148,757.85
  5. Step 5: Solve for x
    x = 289,148,757.85/24,507.76
  6. Step 6: Final answer
    x = 11,798.25

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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.