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Finding the Fourth Proportional to 17,631.99, 24,332.14 and 10,078.48

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Solution

The fourth proportional to 17,631.99, 24,332.14 and 10,078.48 is: 13,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631.99 : 24,332.14 = 10,078.48 : x
  2. Step 2: Convert to fraction form
    17,631.99/24,332.14 = 10,078.48/x
  3. Step 3: Cross multiply
    17,631.99x = 24,332.14 × 10,078.48
  4. Step 4: Simplify right side
    17,631.99x = 245,230,814.29
  5. Step 5: Solve for x
    x = 245,230,814.29/17,631.99
  6. Step 6: Final answer
    x = 13,908.29

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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.