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Finding the Fourth Proportional to 17,760.64, 24,509.40 and 9,802.84

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Solution

The fourth proportional to 17,760.64, 24,509.40 and 9,802.84 is: 13,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.64 : 24,509.40 = 9,802.84 : x
  2. Step 2: Convert to fraction form
    17,760.64/24,509.40 = 9,802.84/x
  3. Step 3: Cross multiply
    17,760.64x = 24,509.40 × 9,802.84
  4. Step 4: Simplify right side
    17,760.64x = 240,261,726.70
  5. Step 5: Solve for x
    x = 240,261,726.70/17,760.64
  6. Step 6: Final answer
    x = 13,527.76

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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.