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Finding the Fourth Proportional to 17,760.82, 24,510.02 and 9,803.06

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Solution

The fourth proportional to 17,760.82, 24,510.02 and 9,803.06 is: 13,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.82 : 24,510.02 = 9,803.06 : x
  2. Step 2: Convert to fraction form
    17,760.82/24,510.02 = 9,803.06/x
  3. Step 3: Cross multiply
    17,760.82x = 24,510.02 × 9,803.06
  4. Step 4: Simplify right side
    17,760.82x = 240,273,196.66
  5. Step 5: Solve for x
    x = 240,273,196.66/17,760.82
  6. Step 6: Final answer
    x = 13,528.27

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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.