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Finding the Fourth Proportional to 15,449.68, 23,178.84 and 5,068.72

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Solution

The fourth proportional to 15,449.68, 23,178.84 and 5,068.72 is: 7,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,449.68 : 23,178.84 = 5,068.72 : x
  2. Step 2: Convert to fraction form
    15,449.68/23,178.84 = 5,068.72/x
  3. Step 3: Cross multiply
    15,449.68x = 23,178.84 × 5,068.72
  4. Step 4: Simplify right side
    15,449.68x = 117,487,049.88
  5. Step 5: Solve for x
    x = 117,487,049.88/15,449.68
  6. Step 6: Final answer
    x = 7,604.50

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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.