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Finding the Fourth Proportional to 22,112, 30,515.12 and 12,176

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Solution

The fourth proportional to 22,112, 30,515.12 and 12,176 is: 16,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,112 : 30,515.12 = 12,176 : x
  2. Step 2: Convert to fraction form
    22,112/30,515.12 = 12,176/x
  3. Step 3: Cross multiply
    22,112x = 30,515.12 × 12,176
  4. Step 4: Simplify right side
    22,112x = 371,552,101.12
  5. Step 5: Solve for x
    x = 371,552,101.12/22,112
  6. Step 6: Final answer
    x = 16,803.19

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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.