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Finding the Fourth Proportional to 22,182.84, 33,297.95 and 12,319.47

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Solution

The fourth proportional to 22,182.84, 33,297.95 and 12,319.47 is: 18,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.84 : 33,297.95 = 12,319.47 : x
  2. Step 2: Convert to fraction form
    22,182.84/33,297.95 = 12,319.47/x
  3. Step 3: Cross multiply
    22,182.84x = 33,297.95 × 12,319.47
  4. Step 4: Simplify right side
    22,182.84x = 410,213,096.09
  5. Step 5: Solve for x
    x = 410,213,096.09/22,182.84
  6. Step 6: Final answer
    x = 18,492.36

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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.