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Finding the Fourth Proportional to 16,535.80, 24,803.70 and 15,434.20

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Solution

The fourth proportional to 16,535.80, 24,803.70 and 15,434.20 is: 23,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.80 : 24,803.70 = 15,434.20 : x
  2. Step 2: Convert to fraction form
    16,535.80/24,803.70 = 15,434.20/x
  3. Step 3: Cross multiply
    16,535.80x = 24,803.70 × 15,434.20
  4. Step 4: Simplify right side
    16,535.80x = 382,825,266.54
  5. Step 5: Solve for x
    x = 382,825,266.54/16,535.80
  6. Step 6: Final answer
    x = 23,151.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.