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Finding the Fourth Proportional to 20,547.98, 30,793.62 and 10,667.60

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Solution

The fourth proportional to 20,547.98, 30,793.62 and 10,667.60 is: 15,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547.98 : 30,793.62 = 10,667.60 : x
  2. Step 2: Convert to fraction form
    20,547.98/30,793.62 = 10,667.60/x
  3. Step 3: Cross multiply
    20,547.98x = 30,793.62 × 10,667.60
  4. Step 4: Simplify right side
    20,547.98x = 328,494,020.71
  5. Step 5: Solve for x
    x = 328,494,020.71/20,547.98
  6. Step 6: Final answer
    x = 15,986.68

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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.