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Finding the Fourth Proportional to 15,889.17, 23,824.41 and 6,029.15

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Solution

The fourth proportional to 15,889.17, 23,824.41 and 6,029.15 is: 9,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.17 : 23,824.41 = 6,029.15 : x
  2. Step 2: Convert to fraction form
    15,889.17/23,824.41 = 6,029.15/x
  3. Step 3: Cross multiply
    15,889.17x = 23,824.41 × 6,029.15
  4. Step 4: Simplify right side
    15,889.17x = 143,640,845.04
  5. Step 5: Solve for x
    x = 143,640,845.04/15,889.17
  6. Step 6: Final answer
    x = 9,040.17

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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.