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Finding the Fourth Proportional to 17,760.48, 24,509.64 and 9,802.53

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Solution

The fourth proportional to 17,760.48, 24,509.64 and 9,802.53 is: 13,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.48 : 24,509.64 = 9,802.53 : x
  2. Step 2: Convert to fraction form
    17,760.48/24,509.64 = 9,802.53/x
  3. Step 3: Cross multiply
    17,760.48x = 24,509.64 × 9,802.53
  4. Step 4: Simplify right side
    17,760.48x = 240,256,481.39
  5. Step 5: Solve for x
    x = 240,256,481.39/17,760.48
  6. Step 6: Final answer
    x = 13,527.59

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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.