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Finding the Fourth Proportional to 14,902.50, 22,319.73 and 7,116.78

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Solution

The fourth proportional to 14,902.50, 22,319.73 and 7,116.78 is: 10,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.50 : 22,319.73 = 7,116.78 : x
  2. Step 2: Convert to fraction form
    14,902.50/22,319.73 = 7,116.78/x
  3. Step 3: Cross multiply
    14,902.50x = 22,319.73 × 7,116.78
  4. Step 4: Simplify right side
    14,902.50x = 158,844,608.07
  5. Step 5: Solve for x
    x = 158,844,608.07/14,902.50
  6. Step 6: Final answer
    x = 10,658.92

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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.