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Finding the Fourth Proportional to 22,384.17, 30,878.15 and 13,425.84

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Solution

The fourth proportional to 22,384.17, 30,878.15 and 13,425.84 is: 18,520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.17 : 30,878.15 = 13,425.84 : x
  2. Step 2: Convert to fraction form
    22,384.17/30,878.15 = 13,425.84/x
  3. Step 3: Cross multiply
    22,384.17x = 30,878.15 × 13,425.84
  4. Step 4: Simplify right side
    22,384.17x = 414,565,034.27
  5. Step 5: Solve for x
    x = 414,565,034.27/22,384.17
  6. Step 6: Final answer
    x = 18,520.46

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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.