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Finding the Fourth Proportional to 22,841.60, 34,258.08 and 9,694.40

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Solution

The fourth proportional to 22,841.60, 34,258.08 and 9,694.40 is: 14,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.60 : 34,258.08 = 9,694.40 : x
  2. Step 2: Convert to fraction form
    22,841.60/34,258.08 = 9,694.40/x
  3. Step 3: Cross multiply
    22,841.60x = 34,258.08 × 9,694.40
  4. Step 4: Simplify right side
    22,841.60x = 332,111,530.75
  5. Step 5: Solve for x
    x = 332,111,530.75/22,841.60
  6. Step 6: Final answer
    x = 14,539.77

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1.5x scale

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.