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Finding the Fourth Proportional to 17,828.12, 24,601.87 and 9,760.23

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Solution

The fourth proportional to 17,828.12, 24,601.87 and 9,760.23 is: 13,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.12 : 24,601.87 = 9,760.23 : x
  2. Step 2: Convert to fraction form
    17,828.12/24,601.87 = 9,760.23/x
  3. Step 3: Cross multiply
    17,828.12x = 24,601.87 × 9,760.23
  4. Step 4: Simplify right side
    17,828.12x = 240,119,909.63
  5. Step 5: Solve for x
    x = 240,119,909.63/17,828.12
  6. Step 6: Final answer
    x = 13,468.61

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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.