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Finding the Fourth Proportional to 21,770.30, 32,661.16 and 9,291.02

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Solution

The fourth proportional to 21,770.30, 32,661.16 and 9,291.02 is: 13,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.30 : 32,661.16 = 9,291.02 : x
  2. Step 2: Convert to fraction form
    21,770.30/32,661.16 = 9,291.02/x
  3. Step 3: Cross multiply
    21,770.30x = 32,661.16 × 9,291.02
  4. Step 4: Simplify right side
    21,770.30x = 303,455,490.78
  5. Step 5: Solve for x
    x = 303,455,490.78/21,770.30
  6. Step 6: Final answer
    x = 13,938.97

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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.