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Finding the Fourth Proportional to 15,141.50, 22,713.38 and 4,047.93

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Solution

The fourth proportional to 15,141.50, 22,713.38 and 4,047.93 is: 6,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.50 : 22,713.38 = 4,047.93 : x
  2. Step 2: Convert to fraction form
    15,141.50/22,713.38 = 4,047.93/x
  3. Step 3: Cross multiply
    15,141.50x = 22,713.38 × 4,047.93
  4. Step 4: Simplify right side
    15,141.50x = 91,942,172.30
  5. Step 5: Solve for x
    x = 91,942,172.30/15,141.50
  6. Step 6: Final answer
    x = 6,072.20

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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.