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Finding the Fourth Proportional to 22,117.50, 30,522.15 and 12,181.50

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Solution

The fourth proportional to 22,117.50, 30,522.15 and 12,181.50 is: 16,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,117.50 : 30,522.15 = 12,181.50 : x
  2. Step 2: Convert to fraction form
    22,117.50/30,522.15 = 12,181.50/x
  3. Step 3: Cross multiply
    22,117.50x = 30,522.15 × 12,181.50
  4. Step 4: Simplify right side
    22,117.50x = 371,805,570.23
  5. Step 5: Solve for x
    x = 371,805,570.23/22,117.50
  6. Step 6: Final answer
    x = 16,810.47

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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.