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Finding the Fourth Proportional to 22,287.74, 33,431.60 and 13,525.16

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Solution

The fourth proportional to 22,287.74, 33,431.60 and 13,525.16 is: 20,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.74 : 33,431.60 = 13,525.16 : x
  2. Step 2: Convert to fraction form
    22,287.74/33,431.60 = 13,525.16/x
  3. Step 3: Cross multiply
    22,287.74x = 33,431.60 × 13,525.16
  4. Step 4: Simplify right side
    22,287.74x = 452,167,605.71
  5. Step 5: Solve for x
    x = 452,167,605.71/22,287.74
  6. Step 6: Final answer
    x = 20,287.73

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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.