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Finding the Fourth Proportional to 13,225.32, 19,837.98 and 5,331.42

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Solution

The fourth proportional to 13,225.32, 19,837.98 and 5,331.42 is: 7,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.32 : 19,837.98 = 5,331.42 : x
  2. Step 2: Convert to fraction form
    13,225.32/19,837.98 = 5,331.42/x
  3. Step 3: Cross multiply
    13,225.32x = 19,837.98 × 5,331.42
  4. Step 4: Simplify right side
    13,225.32x = 105,764,603.33
  5. Step 5: Solve for x
    x = 105,764,603.33/13,225.32
  6. Step 6: Final answer
    x = 7,997.13

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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.