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Finding the Fourth Proportional to 22,844.46, 34,258.05 and 9,703.02

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Solution

The fourth proportional to 22,844.46, 34,258.05 and 9,703.02 is: 14,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,844.46 : 34,258.05 = 9,703.02 : x
  2. Step 2: Convert to fraction form
    22,844.46/34,258.05 = 9,703.02/x
  3. Step 3: Cross multiply
    22,844.46x = 34,258.05 × 9,703.02
  4. Step 4: Simplify right side
    22,844.46x = 332,406,544.31
  5. Step 5: Solve for x
    x = 332,406,544.31/22,844.46
  6. Step 6: Final answer
    x = 14,550.86

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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.