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Finding the Fourth Proportional to 14,616.32, 21,926.52 and 6,296.12

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Solution

The fourth proportional to 14,616.32, 21,926.52 and 6,296.12 is: 9,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.32 : 21,926.52 = 6,296.12 : x
  2. Step 2: Convert to fraction form
    14,616.32/21,926.52 = 6,296.12/x
  3. Step 3: Cross multiply
    14,616.32x = 21,926.52 × 6,296.12
  4. Step 4: Simplify right side
    14,616.32x = 138,052,001.10
  5. Step 5: Solve for x
    x = 138,052,001.10/14,616.32
  6. Step 6: Final answer
    x = 9,445.06

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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.