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Finding the Fourth Proportional to 15,232.74, 22,849.52 and 7,334.03

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Solution

The fourth proportional to 15,232.74, 22,849.52 and 7,334.03 is: 11,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232.74 : 22,849.52 = 7,334.03 : x
  2. Step 2: Convert to fraction form
    15,232.74/22,849.52 = 7,334.03/x
  3. Step 3: Cross multiply
    15,232.74x = 22,849.52 × 7,334.03
  4. Step 4: Simplify right side
    15,232.74x = 167,578,914.25
  5. Step 5: Solve for x
    x = 167,578,914.25/15,232.74
  6. Step 6: Final answer
    x = 11,001.23

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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.