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Finding the Fourth Proportional to 22,078.45, 30,475.11 and 13,583.17

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Solution

The fourth proportional to 22,078.45, 30,475.11 and 13,583.17 is: 18,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.45 : 30,475.11 = 13,583.17 : x
  2. Step 2: Convert to fraction form
    22,078.45/30,475.11 = 13,583.17/x
  3. Step 3: Cross multiply
    22,078.45x = 30,475.11 × 13,583.17
  4. Step 4: Simplify right side
    22,078.45x = 413,948,599.90
  5. Step 5: Solve for x
    x = 413,948,599.90/22,078.45
  6. Step 6: Final answer
    x = 18,748.99

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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.