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Finding the Fourth Proportional to 22,238.41, 30,683.98 and 13,284.16

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Solution

The fourth proportional to 22,238.41, 30,683.98 and 13,284.16 is: 18,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,238.41 : 30,683.98 = 13,284.16 : x
  2. Step 2: Convert to fraction form
    22,238.41/30,683.98 = 13,284.16/x
  3. Step 3: Cross multiply
    22,238.41x = 30,683.98 × 13,284.16
  4. Step 4: Simplify right side
    22,238.41x = 407,610,679.92
  5. Step 5: Solve for x
    x = 407,610,679.92/22,238.41
  6. Step 6: Final answer
    x = 18,329.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.