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Finding the Fourth Proportional to 15,082.80, 22,624.30 and 4,552.86

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Solution

The fourth proportional to 15,082.80, 22,624.30 and 4,552.86 is: 6,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.80 : 22,624.30 = 4,552.86 : x
  2. Step 2: Convert to fraction form
    15,082.80/22,624.30 = 4,552.86/x
  3. Step 3: Cross multiply
    15,082.80x = 22,624.30 × 4,552.86
  4. Step 4: Simplify right side
    15,082.80x = 103,005,270.50
  5. Step 5: Solve for x
    x = 103,005,270.50/15,082.80
  6. Step 6: Final answer
    x = 6,829.32

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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.