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Finding the Fourth Proportional to 15,202.76, 22,803.98 and 4,814.51

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Solution

The fourth proportional to 15,202.76, 22,803.98 and 4,814.51 is: 7,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.76 : 22,803.98 = 4,814.51 : x
  2. Step 2: Convert to fraction form
    15,202.76/22,803.98 = 4,814.51/x
  3. Step 3: Cross multiply
    15,202.76x = 22,803.98 × 4,814.51
  4. Step 4: Simplify right side
    15,202.76x = 109,789,851.66
  5. Step 5: Solve for x
    x = 109,789,851.66/15,202.76
  6. Step 6: Final answer
    x = 7,221.71

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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.