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Finding the Fourth Proportional to 27,214.63, 40,834.50 and 12,428.08

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Solution

The fourth proportional to 27,214.63, 40,834.50 and 12,428.08 is: 18,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.63 : 40,834.50 = 12,428.08 : x
  2. Step 2: Convert to fraction form
    27,214.63/40,834.50 = 12,428.08/x
  3. Step 3: Cross multiply
    27,214.63x = 40,834.50 × 12,428.08
  4. Step 4: Simplify right side
    27,214.63x = 507,494,432.76
  5. Step 5: Solve for x
    x = 507,494,432.76/27,214.63
  6. Step 6: Final answer
    x = 18,647.85

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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.