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Finding the Fourth Proportional to 17,761.28, 24,510.40 and 9,803.63

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Solution

The fourth proportional to 17,761.28, 24,510.40 and 9,803.63 is: 13,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.28 : 24,510.40 = 9,803.63 : x
  2. Step 2: Convert to fraction form
    17,761.28/24,510.40 = 9,803.63/x
  3. Step 3: Cross multiply
    17,761.28x = 24,510.40 × 9,803.63
  4. Step 4: Simplify right side
    17,761.28x = 240,290,929.52
  5. Step 5: Solve for x
    x = 240,290,929.52/17,761.28
  6. Step 6: Final answer
    x = 13,528.92

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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.