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Finding the Fourth Proportional to 14,884.56, 22,326.20 and 4,496

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Solution

The fourth proportional to 14,884.56, 22,326.20 and 4,496 is: 6,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.56 : 22,326.20 = 4,496 : x
  2. Step 2: Convert to fraction form
    14,884.56/22,326.20 = 4,496/x
  3. Step 3: Cross multiply
    14,884.56x = 22,326.20 × 4,496
  4. Step 4: Simplify right side
    14,884.56x = 100,378,595.20
  5. Step 5: Solve for x
    x = 100,378,595.20/14,884.56
  6. Step 6: Final answer
    x = 6,743.81

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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.