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Finding the Fourth Proportional to 12,478.91, 18,791.10 and 9,214.81

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Solution

The fourth proportional to 12,478.91, 18,791.10 and 9,214.81 is: 13,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.91 : 18,791.10 = 9,214.81 : x
  2. Step 2: Convert to fraction form
    12,478.91/18,791.10 = 9,214.81/x
  3. Step 3: Cross multiply
    12,478.91x = 18,791.10 × 9,214.81
  4. Step 4: Simplify right side
    12,478.91x = 173,156,369.21
  5. Step 5: Solve for x
    x = 173,156,369.21/12,478.91
  6. Step 6: Final answer
    x = 13,875.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.