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Finding the Fourth Proportional to 15,816.50, 23,710.07 and 7,500.41

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Solution

The fourth proportional to 15,816.50, 23,710.07 and 7,500.41 is: 11,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816.50 : 23,710.07 = 7,500.41 : x
  2. Step 2: Convert to fraction form
    15,816.50/23,710.07 = 7,500.41/x
  3. Step 3: Cross multiply
    15,816.50x = 23,710.07 × 7,500.41
  4. Step 4: Simplify right side
    15,816.50x = 177,835,127.58
  5. Step 5: Solve for x
    x = 177,835,127.58/15,816.50
  6. Step 6: Final answer
    x = 11,243.65

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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.