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Finding the Fourth Proportional to 13,616.91, 20,398.03 and 9,926.96

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Solution

The fourth proportional to 13,616.91, 20,398.03 and 9,926.96 is: 14,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.91 : 20,398.03 = 9,926.96 : x
  2. Step 2: Convert to fraction form
    13,616.91/20,398.03 = 9,926.96/x
  3. Step 3: Cross multiply
    13,616.91x = 20,398.03 × 9,926.96
  4. Step 4: Simplify right side
    13,616.91x = 202,490,301.08
  5. Step 5: Solve for x
    x = 202,490,301.08/13,616.91
  6. Step 6: Final answer
    x = 14,870.50

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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.