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Finding the Fourth Proportional to 15,902.01, 23,839.95 and 7,011.03

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Solution

The fourth proportional to 15,902.01, 23,839.95 and 7,011.03 is: 10,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.01 : 23,839.95 = 7,011.03 : x
  2. Step 2: Convert to fraction form
    15,902.01/23,839.95 = 7,011.03/x
  3. Step 3: Cross multiply
    15,902.01x = 23,839.95 × 7,011.03
  4. Step 4: Simplify right side
    15,902.01x = 167,142,604.65
  5. Step 5: Solve for x
    x = 167,142,604.65/15,902.01
  6. Step 6: Final answer
    x = 10,510.78

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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.