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Finding the Fourth Proportional to 15,121.81, 22,649.89 and 7,314.25

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Solution

The fourth proportional to 15,121.81, 22,649.89 and 7,314.25 is: 10,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,121.81 : 22,649.89 = 7,314.25 : x
  2. Step 2: Convert to fraction form
    15,121.81/22,649.89 = 7,314.25/x
  3. Step 3: Cross multiply
    15,121.81x = 22,649.89 × 7,314.25
  4. Step 4: Simplify right side
    15,121.81x = 165,666,957.93
  5. Step 5: Solve for x
    x = 165,666,957.93/15,121.81
  6. Step 6: Final answer
    x = 10,955.50

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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.