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Finding the Fourth Proportional to 21,494.85, 32,242.28 and 9,011.54

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Solution

The fourth proportional to 21,494.85, 32,242.28 and 9,011.54 is: 13,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.85 : 32,242.28 = 9,011.54 : x
  2. Step 2: Convert to fraction form
    21,494.85/32,242.28 = 9,011.54/x
  3. Step 3: Cross multiply
    21,494.85x = 32,242.28 × 9,011.54
  4. Step 4: Simplify right side
    21,494.85x = 290,552,389.64
  5. Step 5: Solve for x
    x = 290,552,389.64/21,494.85
  6. Step 6: Final answer
    x = 13,517.30

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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.