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Finding the Fourth Proportional to 22,237.98, 30,683.54 and 13,284.12

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Solution

The fourth proportional to 22,237.98, 30,683.54 and 13,284.12 is: 18,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,237.98 : 30,683.54 = 13,284.12 : x
  2. Step 2: Convert to fraction form
    22,237.98/30,683.54 = 13,284.12/x
  3. Step 3: Cross multiply
    22,237.98x = 30,683.54 × 13,284.12
  4. Step 4: Simplify right side
    22,237.98x = 407,603,827.38
  5. Step 5: Solve for x
    x = 407,603,827.38/22,237.98
  6. Step 6: Final answer
    x = 18,329.18

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Why These Related Problems?

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