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Finding the Fourth Proportional to 17,760.96, 24,508.40 and 9,802.69

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Solution

The fourth proportional to 17,760.96, 24,508.40 and 9,802.69 is: 13,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.96 : 24,508.40 = 9,802.69 : x
  2. Step 2: Convert to fraction form
    17,760.96/24,508.40 = 9,802.69/x
  3. Step 3: Cross multiply
    17,760.96x = 24,508.40 × 9,802.69
  4. Step 4: Simplify right side
    17,760.96x = 240,248,137.31
  5. Step 5: Solve for x
    x = 240,248,137.31/17,760.96
  6. Step 6: Final answer
    x = 13,526.75

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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.