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Finding the Fourth Proportional to 28,633.84, 42,966.12 and 12,214

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Solution

The fourth proportional to 28,633.84, 42,966.12 and 12,214 is: 18,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,633.84 : 42,966.12 = 12,214 : x
  2. Step 2: Convert to fraction form
    28,633.84/42,966.12 = 12,214/x
  3. Step 3: Cross multiply
    28,633.84x = 42,966.12 × 12,214
  4. Step 4: Simplify right side
    28,633.84x = 524,788,189.68
  5. Step 5: Solve for x
    x = 524,788,189.68/28,633.84
  6. Step 6: Final answer
    x = 18,327.55

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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.