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Finding the Fourth Proportional to 21,544.20, 32,290.70 and 9,064.20

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Solution

The fourth proportional to 21,544.20, 32,290.70 and 9,064.20 is: 13,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,544.20 : 32,290.70 = 9,064.20 : x
  2. Step 2: Convert to fraction form
    21,544.20/32,290.70 = 9,064.20/x
  3. Step 3: Cross multiply
    21,544.20x = 32,290.70 × 9,064.20
  4. Step 4: Simplify right side
    21,544.20x = 292,689,362.94
  5. Step 5: Solve for x
    x = 292,689,362.94/21,544.20
  6. Step 6: Final answer
    x = 13,585.53

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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.