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Finding the Fourth Proportional to 21,530.88, 32,290.56 and 9,216

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Solution

The fourth proportional to 21,530.88, 32,290.56 and 9,216 is: 13,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.88 : 32,290.56 = 9,216 : x
  2. Step 2: Convert to fraction form
    21,530.88/32,290.56 = 9,216/x
  3. Step 3: Cross multiply
    21,530.88x = 32,290.56 × 9,216
  4. Step 4: Simplify right side
    21,530.88x = 297,589,800.96
  5. Step 5: Solve for x
    x = 297,589,800.96/21,530.88
  6. Step 6: Final answer
    x = 13,821.53

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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.