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Finding the Fourth Proportional to 22,894.50, 34,337.70 and 10,411.60

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Solution

The fourth proportional to 22,894.50, 34,337.70 and 10,411.60 is: 15,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.50 : 34,337.70 = 10,411.60 : x
  2. Step 2: Convert to fraction form
    22,894.50/34,337.70 = 10,411.60/x
  3. Step 3: Cross multiply
    22,894.50x = 34,337.70 × 10,411.60
  4. Step 4: Simplify right side
    22,894.50x = 357,510,397.32
  5. Step 5: Solve for x
    x = 357,510,397.32/22,894.50
  6. Step 6: Final answer
    x = 15,615.56

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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.