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Finding the Fourth Proportional to 21,334.40, 32,002.41 and 8,188.10

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Solution

The fourth proportional to 21,334.40, 32,002.41 and 8,188.10 is: 12,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.40 : 32,002.41 = 8,188.10 : x
  2. Step 2: Convert to fraction form
    21,334.40/32,002.41 = 8,188.10/x
  3. Step 3: Cross multiply
    21,334.40x = 32,002.41 × 8,188.10
  4. Step 4: Simplify right side
    21,334.40x = 262,038,933.32
  5. Step 5: Solve for x
    x = 262,038,933.32/21,334.40
  6. Step 6: Final answer
    x = 12,282.46

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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.