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Finding the Fourth Proportional to 14,496.32, 21,752.84 and 7,832.83

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Solution

The fourth proportional to 14,496.32, 21,752.84 and 7,832.83 is: 11,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.32 : 21,752.84 = 7,832.83 : x
  2. Step 2: Convert to fraction form
    14,496.32/21,752.84 = 7,832.83/x
  3. Step 3: Cross multiply
    14,496.32x = 21,752.84 × 7,832.83
  4. Step 4: Simplify right side
    14,496.32x = 170,386,290.25
  5. Step 5: Solve for x
    x = 170,386,290.25/14,496.32
  6. Step 6: Final answer
    x = 11,753.76

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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.