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Finding the Fourth Proportional to 22,384.14, 30,915.18 and 17,408.22

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Solution

The fourth proportional to 22,384.14, 30,915.18 and 17,408.22 is: 24,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.14 : 30,915.18 = 17,408.22 : x
  2. Step 2: Convert to fraction form
    22,384.14/30,915.18 = 17,408.22/x
  3. Step 3: Cross multiply
    22,384.14x = 30,915.18 × 17,408.22
  4. Step 4: Simplify right side
    22,384.14x = 538,178,254.78
  5. Step 5: Solve for x
    x = 538,178,254.78/22,384.14
  6. Step 6: Final answer
    x = 24,042.84

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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.