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Finding the Fourth Proportional to 20,732.49, 31,081.86 and 9,646.20

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Solution

The fourth proportional to 20,732.49, 31,081.86 and 9,646.20 is: 14,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.49 : 31,081.86 = 9,646.20 : x
  2. Step 2: Convert to fraction form
    20,732.49/31,081.86 = 9,646.20/x
  3. Step 3: Cross multiply
    20,732.49x = 31,081.86 × 9,646.20
  4. Step 4: Simplify right side
    20,732.49x = 299,821,837.93
  5. Step 5: Solve for x
    x = 299,821,837.93/20,732.49
  6. Step 6: Final answer
    x = 14,461.45

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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.