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Finding the Fourth Proportional to 15,309.75, 22,970.09 and 7,524.03

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Solution

The fourth proportional to 15,309.75, 22,970.09 and 7,524.03 is: 11,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309.75 : 22,970.09 = 7,524.03 : x
  2. Step 2: Convert to fraction form
    15,309.75/22,970.09 = 7,524.03/x
  3. Step 3: Cross multiply
    15,309.75x = 22,970.09 × 7,524.03
  4. Step 4: Simplify right side
    15,309.75x = 172,827,665.07
  5. Step 5: Solve for x
    x = 172,827,665.07/15,309.75
  6. Step 6: Final answer
    x = 11,288.73

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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.