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Finding the Fourth Proportional to 21,517.65, 32,266.76 and 7,667.01

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Solution

The fourth proportional to 21,517.65, 32,266.76 and 7,667.01 is: 11,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,517.65 : 32,266.76 = 7,667.01 : x
  2. Step 2: Convert to fraction form
    21,517.65/32,266.76 = 7,667.01/x
  3. Step 3: Cross multiply
    21,517.65x = 32,266.76 × 7,667.01
  4. Step 4: Simplify right side
    21,517.65x = 247,389,533.25
  5. Step 5: Solve for x
    x = 247,389,533.25/21,517.65
  6. Step 6: Final answer
    x = 11,497.05

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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.