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Finding the Fourth Proportional to 12,214.01, 16,853.91 and 6,836.74

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Solution

The fourth proportional to 12,214.01, 16,853.91 and 6,836.74 is: 9,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.01 : 16,853.91 = 6,836.74 : x
  2. Step 2: Convert to fraction form
    12,214.01/16,853.91 = 6,836.74/x
  3. Step 3: Cross multiply
    12,214.01x = 16,853.91 × 6,836.74
  4. Step 4: Simplify right side
    12,214.01x = 115,225,812.11
  5. Step 5: Solve for x
    x = 115,225,812.11/12,214.01
  6. Step 6: Final answer
    x = 9,433.91

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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.