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Finding the Fourth Proportional to 17,760.49, 24,509.36 and 9,802.71

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Solution

The fourth proportional to 17,760.49, 24,509.36 and 9,802.71 is: 13,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.49 : 24,509.36 = 9,802.71 : x
  2. Step 2: Convert to fraction form
    17,760.49/24,509.36 = 9,802.71/x
  3. Step 3: Cross multiply
    17,760.49x = 24,509.36 × 9,802.71
  4. Step 4: Simplify right side
    17,760.49x = 240,258,228.02
  5. Step 5: Solve for x
    x = 240,258,228.02/17,760.49
  6. Step 6: Final answer
    x = 13,527.68

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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.