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Finding the Fourth Proportional to 20,219.04, 30,305.52 and 9,252

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Solution

The fourth proportional to 20,219.04, 30,305.52 and 9,252 is: 13,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.04 : 30,305.52 = 9,252 : x
  2. Step 2: Convert to fraction form
    20,219.04/30,305.52 = 9,252/x
  3. Step 3: Cross multiply
    20,219.04x = 30,305.52 × 9,252
  4. Step 4: Simplify right side
    20,219.04x = 280,386,671.04
  5. Step 5: Solve for x
    x = 280,386,671.04/20,219.04
  6. Step 6: Final answer
    x = 13,867.46

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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.