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Finding the Fourth Proportional to 21,585.57, 32,393.03 and 7,734.57

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Solution

The fourth proportional to 21,585.57, 32,393.03 and 7,734.57 is: 11,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,585.57 : 32,393.03 = 7,734.57 : x
  2. Step 2: Convert to fraction form
    21,585.57/32,393.03 = 7,734.57/x
  3. Step 3: Cross multiply
    21,585.57x = 32,393.03 × 7,734.57
  4. Step 4: Simplify right side
    21,585.57x = 250,546,119.37
  5. Step 5: Solve for x
    x = 250,546,119.37/21,585.57
  6. Step 6: Final answer
    x = 11,607.11

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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.