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Finding the Fourth Proportional to 22,922.60, 34,387.46 and 9,775

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Solution

The fourth proportional to 22,922.60, 34,387.46 and 9,775 is: 14,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.60 : 34,387.46 = 9,775 : x
  2. Step 2: Convert to fraction form
    22,922.60/34,387.46 = 9,775/x
  3. Step 3: Cross multiply
    22,922.60x = 34,387.46 × 9,775
  4. Step 4: Simplify right side
    22,922.60x = 336,137,421.50
  5. Step 5: Solve for x
    x = 336,137,421.50/22,922.60
  6. Step 6: Final answer
    x = 14,664.02

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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.