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Finding the Fourth Proportional to 19,298.52, 28,961.62 and 8,213

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Solution

The fourth proportional to 19,298.52, 28,961.62 and 8,213 is: 12,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298.52 : 28,961.62 = 8,213 : x
  2. Step 2: Convert to fraction form
    19,298.52/28,961.62 = 8,213/x
  3. Step 3: Cross multiply
    19,298.52x = 28,961.62 × 8,213
  4. Step 4: Simplify right side
    19,298.52x = 237,861,785.06
  5. Step 5: Solve for x
    x = 237,861,785.06/19,298.52
  6. Step 6: Final answer
    x = 12,325.39

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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.