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Finding the Fourth Proportional to 23,500.10, 35,225.04 and 11,641.70

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Solution

The fourth proportional to 23,500.10, 35,225.04 and 11,641.70 is: 17,450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.10 : 35,225.04 = 11,641.70 : x
  2. Step 2: Convert to fraction form
    23,500.10/35,225.04 = 11,641.70/x
  3. Step 3: Cross multiply
    23,500.10x = 35,225.04 × 11,641.70
  4. Step 4: Simplify right side
    23,500.10x = 410,079,348.17
  5. Step 5: Solve for x
    x = 410,079,348.17/23,500.10
  6. Step 6: Final answer
    x = 17,450.11

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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.