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Finding the Fourth Proportional to 15,830.99, 23,754.67 and 6,952.56

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Solution

The fourth proportional to 15,830.99, 23,754.67 and 6,952.56 is: 10,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.99 : 23,754.67 = 6,952.56 : x
  2. Step 2: Convert to fraction form
    15,830.99/23,754.67 = 6,952.56/x
  3. Step 3: Cross multiply
    15,830.99x = 23,754.67 × 6,952.56
  4. Step 4: Simplify right side
    15,830.99x = 165,155,728.80
  5. Step 5: Solve for x
    x = 165,155,728.80/15,830.99
  6. Step 6: Final answer
    x = 10,432.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.