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Finding the Fourth Proportional to 18,024.36, 24,872.76 and 10,065

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Solution

The fourth proportional to 18,024.36, 24,872.76 and 10,065 is: 13,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024.36 : 24,872.76 = 10,065 : x
  2. Step 2: Convert to fraction form
    18,024.36/24,872.76 = 10,065/x
  3. Step 3: Cross multiply
    18,024.36x = 24,872.76 × 10,065
  4. Step 4: Simplify right side
    18,024.36x = 250,344,329.40
  5. Step 5: Solve for x
    x = 250,344,329.40/18,024.36
  6. Step 6: Final answer
    x = 13,889.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.