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Finding the Fourth Proportional to 23,314.68, 34,976.99 and 7,520.60

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Solution

The fourth proportional to 23,314.68, 34,976.99 and 7,520.60 is: 11,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.68 : 34,976.99 = 7,520.60 : x
  2. Step 2: Convert to fraction form
    23,314.68/34,976.99 = 7,520.60/x
  3. Step 3: Cross multiply
    23,314.68x = 34,976.99 × 7,520.60
  4. Step 4: Simplify right side
    23,314.68x = 263,047,926.07
  5. Step 5: Solve for x
    x = 263,047,926.07/23,314.68
  6. Step 6: Final answer
    x = 11,282.50

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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.