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Finding the Fourth Proportional to 21,410.69, 32,120.91 and 11,549.75

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Solution

The fourth proportional to 21,410.69, 32,120.91 and 11,549.75 is: 17,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.69 : 32,120.91 = 11,549.75 : x
  2. Step 2: Convert to fraction form
    21,410.69/32,120.91 = 11,549.75/x
  3. Step 3: Cross multiply
    21,410.69x = 32,120.91 × 11,549.75
  4. Step 4: Simplify right side
    21,410.69x = 370,988,480.27
  5. Step 5: Solve for x
    x = 370,988,480.27/21,410.69
  6. Step 6: Final answer
    x = 17,327.25

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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.