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Finding the Fourth Proportional to 21,166.12, 29,210.61 and 12,214

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Solution

The fourth proportional to 21,166.12, 29,210.61 and 12,214 is: 16,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,166.12 : 29,210.61 = 12,214 : x
  2. Step 2: Convert to fraction form
    21,166.12/29,210.61 = 12,214/x
  3. Step 3: Cross multiply
    21,166.12x = 29,210.61 × 12,214
  4. Step 4: Simplify right side
    21,166.12x = 356,778,390.54
  5. Step 5: Solve for x
    x = 356,778,390.54/21,166.12
  6. Step 6: Final answer
    x = 16,856.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.