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Finding the Fourth Proportional to 21,448.75, 32,165.22 and 7,405.19

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Solution

The fourth proportional to 21,448.75, 32,165.22 and 7,405.19 is: 11,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448.75 : 32,165.22 = 7,405.19 : x
  2. Step 2: Convert to fraction form
    21,448.75/32,165.22 = 7,405.19/x
  3. Step 3: Cross multiply
    21,448.75x = 32,165.22 × 7,405.19
  4. Step 4: Simplify right side
    21,448.75x = 238,189,565.49
  5. Step 5: Solve for x
    x = 238,189,565.49/21,448.75
  6. Step 6: Final answer
    x = 11,105.06

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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.