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Finding the Fourth Proportional to 17,982.69, 24,816.12 and 10,024.74

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Solution

The fourth proportional to 17,982.69, 24,816.12 and 10,024.74 is: 13,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982.69 : 24,816.12 = 10,024.74 : x
  2. Step 2: Convert to fraction form
    17,982.69/24,816.12 = 10,024.74/x
  3. Step 3: Cross multiply
    17,982.69x = 24,816.12 × 10,024.74
  4. Step 4: Simplify right side
    17,982.69x = 248,775,150.81
  5. Step 5: Solve for x
    x = 248,775,150.81/17,982.69
  6. Step 6: Final answer
    x = 13,834.15

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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.