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Finding the Fourth Proportional to 19,298.27, 28,961.24 and 8,212.75

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Solution

The fourth proportional to 19,298.27, 28,961.24 and 8,212.75 is: 12,325.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298.27 : 28,961.24 = 8,212.75 : x
  2. Step 2: Convert to fraction form
    19,298.27/28,961.24 = 8,212.75/x
  3. Step 3: Cross multiply
    19,298.27x = 28,961.24 × 8,212.75
  4. Step 4: Simplify right side
    19,298.27x = 237,851,423.81
  5. Step 5: Solve for x
    x = 237,851,423.81/19,298.27
  6. Step 6: Final answer
    x = 12,325.01

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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.