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Finding the Fourth Proportional to 15,202, 22,800.84 and 5,340.88

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Solution

The fourth proportional to 15,202, 22,800.84 and 5,340.88 is: 8,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202 : 22,800.84 = 5,340.88 : x
  2. Step 2: Convert to fraction form
    15,202/22,800.84 = 5,340.88/x
  3. Step 3: Cross multiply
    15,202x = 22,800.84 × 5,340.88
  4. Step 4: Simplify right side
    15,202x = 121,776,550.34
  5. Step 5: Solve for x
    x = 121,776,550.34/15,202
  6. Step 6: Final answer
    x = 8,010.56

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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.