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Finding the Fourth Proportional to 22,740.50, 34,107.06 and 16,146.74

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Solution

The fourth proportional to 22,740.50, 34,107.06 and 16,146.74 is: 24,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740.50 : 34,107.06 = 16,146.74 : x
  2. Step 2: Convert to fraction form
    22,740.50/34,107.06 = 16,146.74/x
  3. Step 3: Cross multiply
    22,740.50x = 34,107.06 × 16,146.74
  4. Step 4: Simplify right side
    22,740.50x = 550,717,829.98
  5. Step 5: Solve for x
    x = 550,717,829.98/22,740.50
  6. Step 6: Final answer
    x = 24,217.49

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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.