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Finding the Fourth Proportional to 23,566.80, 35,340.88 and 9,524.18

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Solution

The fourth proportional to 23,566.80, 35,340.88 and 9,524.18 is: 14,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,566.80 : 35,340.88 = 9,524.18 : x
  2. Step 2: Convert to fraction form
    23,566.80/35,340.88 = 9,524.18/x
  3. Step 3: Cross multiply
    23,566.80x = 35,340.88 × 9,524.18
  4. Step 4: Simplify right side
    23,566.80x = 336,592,902.48
  5. Step 5: Solve for x
    x = 336,592,902.48/23,566.80
  6. Step 6: Final answer
    x = 14,282.50

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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.