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Finding the Fourth Proportional to 12,111.68, 18,167.02 and 4,216

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Solution

The fourth proportional to 12,111.68, 18,167.02 and 4,216 is: 6,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.68 : 18,167.02 = 4,216 : x
  2. Step 2: Convert to fraction form
    12,111.68/18,167.02 = 4,216/x
  3. Step 3: Cross multiply
    12,111.68x = 18,167.02 × 4,216
  4. Step 4: Simplify right side
    12,111.68x = 76,592,156.32
  5. Step 5: Solve for x
    x = 76,592,156.32/12,111.68
  6. Step 6: Final answer
    x = 6,323.83

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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.