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Finding the Fourth Proportional to 22,681.50, 34,019.52 and 6,042.74

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Solution

The fourth proportional to 22,681.50, 34,019.52 and 6,042.74 is: 9,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.50 : 34,019.52 = 6,042.74 : x
  2. Step 2: Convert to fraction form
    22,681.50/34,019.52 = 6,042.74/x
  3. Step 3: Cross multiply
    22,681.50x = 34,019.52 × 6,042.74
  4. Step 4: Simplify right side
    22,681.50x = 205,571,114.28
  5. Step 5: Solve for x
    x = 205,571,114.28/22,681.50
  6. Step 6: Final answer
    x = 9,063.38

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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.