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Finding the Fourth Proportional to 23,109.60, 34,680.60 and 9,971.40

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Solution

The fourth proportional to 23,109.60, 34,680.60 and 9,971.40 is: 14,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.60 : 34,680.60 = 9,971.40 : x
  2. Step 2: Convert to fraction form
    23,109.60/34,680.60 = 9,971.40/x
  3. Step 3: Cross multiply
    23,109.60x = 34,680.60 × 9,971.40
  4. Step 4: Simplify right side
    23,109.60x = 345,814,134.84
  5. Step 5: Solve for x
    x = 345,814,134.84/23,109.60
  6. Step 6: Final answer
    x = 14,964.09

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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.