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Finding the Fourth Proportional to 15,891.42, 23,828.49 and 6,649.50

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Solution

The fourth proportional to 15,891.42, 23,828.49 and 6,649.50 is: 9,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.42 : 23,828.49 = 6,649.50 : x
  2. Step 2: Convert to fraction form
    15,891.42/23,828.49 = 6,649.50/x
  3. Step 3: Cross multiply
    15,891.42x = 23,828.49 × 6,649.50
  4. Step 4: Simplify right side
    15,891.42x = 158,447,544.26
  5. Step 5: Solve for x
    x = 158,447,544.26/15,891.42
  6. Step 6: Final answer
    x = 9,970.63

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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.