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Finding the Fourth Proportional to 25,522.34, 38,267.09 and 12,188.12

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Solution

The fourth proportional to 25,522.34, 38,267.09 and 12,188.12 is: 18,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,522.34 : 38,267.09 = 12,188.12 : x
  2. Step 2: Convert to fraction form
    25,522.34/38,267.09 = 12,188.12/x
  3. Step 3: Cross multiply
    25,522.34x = 38,267.09 × 12,188.12
  4. Step 4: Simplify right side
    25,522.34x = 466,403,724.11
  5. Step 5: Solve for x
    x = 466,403,724.11/25,522.34
  6. Step 6: Final answer
    x = 18,274.34

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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.