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Finding the Fourth Proportional to 20,806.71, 31,182.53 and 10,925.79

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Solution

The fourth proportional to 20,806.71, 31,182.53 and 10,925.79 is: 16,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.71 : 31,182.53 = 10,925.79 : x
  2. Step 2: Convert to fraction form
    20,806.71/31,182.53 = 10,925.79/x
  3. Step 3: Cross multiply
    20,806.71x = 31,182.53 × 10,925.79
  4. Step 4: Simplify right side
    20,806.71x = 340,693,719.82
  5. Step 5: Solve for x
    x = 340,693,719.82/20,806.71
  6. Step 6: Final answer
    x = 16,374.22

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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.