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Finding the Fourth Proportional to 20,685.96, 30,823.49 and 19,681.74

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Solution

The fourth proportional to 20,685.96, 30,823.49 and 19,681.74 is: 29,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.96 : 30,823.49 = 19,681.74 : x
  2. Step 2: Convert to fraction form
    20,685.96/30,823.49 = 19,681.74/x
  3. Step 3: Cross multiply
    20,685.96x = 30,823.49 × 19,681.74
  4. Step 4: Simplify right side
    20,685.96x = 606,659,965.28
  5. Step 5: Solve for x
    x = 606,659,965.28/20,685.96
  6. Step 6: Final answer
    x = 29,327.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.