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Finding the Fourth Proportional to 20,456.75, 30,681.69 and 5,667.17

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Solution

The fourth proportional to 20,456.75, 30,681.69 and 5,667.17 is: 8,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.75 : 30,681.69 = 5,667.17 : x
  2. Step 2: Convert to fraction form
    20,456.75/30,681.69 = 5,667.17/x
  3. Step 3: Cross multiply
    20,456.75x = 30,681.69 × 5,667.17
  4. Step 4: Simplify right side
    20,456.75x = 173,878,199.71
  5. Step 5: Solve for x
    x = 173,878,199.71/20,456.75
  6. Step 6: Final answer
    x = 8,499.80

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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.