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Finding the Fourth Proportional to 12,203.17, 18,304.35 and 5,178.67

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Solution

The fourth proportional to 12,203.17, 18,304.35 and 5,178.67 is: 7,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.17 : 18,304.35 = 5,178.67 : x
  2. Step 2: Convert to fraction form
    12,203.17/18,304.35 = 5,178.67/x
  3. Step 3: Cross multiply
    12,203.17x = 18,304.35 × 5,178.67
  4. Step 4: Simplify right side
    12,203.17x = 94,792,188.21
  5. Step 5: Solve for x
    x = 94,792,188.21/12,203.17
  6. Step 6: Final answer
    x = 7,767.83

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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.