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Finding the Fourth Proportional to 20,535.32, 30,803.02 and 5,744.18

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Solution

The fourth proportional to 20,535.32, 30,803.02 and 5,744.18 is: 8,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535.32 : 30,803.02 = 5,744.18 : x
  2. Step 2: Convert to fraction form
    20,535.32/30,803.02 = 5,744.18/x
  3. Step 3: Cross multiply
    20,535.32x = 30,803.02 × 5,744.18
  4. Step 4: Simplify right side
    20,535.32x = 176,938,154.07
  5. Step 5: Solve for x
    x = 176,938,154.07/20,535.32
  6. Step 6: Final answer
    x = 8,616.28

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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.