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Finding the Fourth Proportional to 14,894.20, 22,333.66 and 7,878

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Solution

The fourth proportional to 14,894.20, 22,333.66 and 7,878 is: 11,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.20 : 22,333.66 = 7,878 : x
  2. Step 2: Convert to fraction form
    14,894.20/22,333.66 = 7,878/x
  3. Step 3: Cross multiply
    14,894.20x = 22,333.66 × 7,878
  4. Step 4: Simplify right side
    14,894.20x = 175,944,573.48
  5. Step 5: Solve for x
    x = 175,944,573.48/14,894.20
  6. Step 6: Final answer
    x = 11,812.96

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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.