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Finding the Fourth Proportional to 17,760.52, 24,508.80 and 9,802.63

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Solution

The fourth proportional to 17,760.52, 24,508.80 and 9,802.63 is: 13,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.52 : 24,508.80 = 9,802.63 : x
  2. Step 2: Convert to fraction form
    17,760.52/24,508.80 = 9,802.63/x
  3. Step 3: Cross multiply
    17,760.52x = 24,508.80 × 9,802.63
  4. Step 4: Simplify right side
    17,760.52x = 240,250,698.14
  5. Step 5: Solve for x
    x = 240,250,698.14/17,760.52
  6. Step 6: Final answer
    x = 13,527.23

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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.