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Finding the Fourth Proportional to 14,864.10, 22,294.32 and 8,627.50

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Solution

The fourth proportional to 14,864.10, 22,294.32 and 8,627.50 is: 12,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.10 : 22,294.32 = 8,627.50 : x
  2. Step 2: Convert to fraction form
    14,864.10/22,294.32 = 8,627.50/x
  3. Step 3: Cross multiply
    14,864.10x = 22,294.32 × 8,627.50
  4. Step 4: Simplify right side
    14,864.10x = 192,344,245.80
  5. Step 5: Solve for x
    x = 192,344,245.80/14,864.10
  6. Step 6: Final answer
    x = 12,940.19

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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.