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Finding the Fourth Proportional to 14,802, 22,211.76 and 5,448.59

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Solution

The fourth proportional to 14,802, 22,211.76 and 5,448.59 is: 8,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802 : 22,211.76 = 5,448.59 : x
  2. Step 2: Convert to fraction form
    14,802/22,211.76 = 5,448.59/x
  3. Step 3: Cross multiply
    14,802x = 22,211.76 × 5,448.59
  4. Step 4: Simplify right side
    14,802x = 121,022,773.42
  5. Step 5: Solve for x
    x = 121,022,773.42/14,802
  6. Step 6: Final answer
    x = 8,176.11

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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.