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Finding the Fourth Proportional to 22,838.55, 34,253.78 and 6,199.88

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Solution

The fourth proportional to 22,838.55, 34,253.78 and 6,199.88 is: 9,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.55 : 34,253.78 = 6,199.88 : x
  2. Step 2: Convert to fraction form
    22,838.55/34,253.78 = 6,199.88/x
  3. Step 3: Cross multiply
    22,838.55x = 34,253.78 × 6,199.88
  4. Step 4: Simplify right side
    22,838.55x = 212,369,325.55
  5. Step 5: Solve for x
    x = 212,369,325.55/22,838.55
  6. Step 6: Final answer
    x = 9,298.72

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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.