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Finding the Fourth Proportional to 20,908.13, 31,362.19 and 7,057.13

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Solution

The fourth proportional to 20,908.13, 31,362.19 and 7,057.13 is: 10,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,908.13 : 31,362.19 = 7,057.13 : x
  2. Step 2: Convert to fraction form
    20,908.13/31,362.19 = 7,057.13/x
  3. Step 3: Cross multiply
    20,908.13x = 31,362.19 × 7,057.13
  4. Step 4: Simplify right side
    20,908.13x = 221,326,877.46
  5. Step 5: Solve for x
    x = 221,326,877.46/20,908.13
  6. Step 6: Final answer
    x = 10,585.69

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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.