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Finding the Fourth Proportional to 13,984.08, 19,298.97 and 7,696.86

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Solution

The fourth proportional to 13,984.08, 19,298.97 and 7,696.86 is: 10,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.08 : 19,298.97 = 7,696.86 : x
  2. Step 2: Convert to fraction form
    13,984.08/19,298.97 = 7,696.86/x
  3. Step 3: Cross multiply
    13,984.08x = 19,298.97 × 7,696.86
  4. Step 4: Simplify right side
    13,984.08x = 148,541,470.23
  5. Step 5: Solve for x
    x = 148,541,470.23/13,984.08
  6. Step 6: Final answer
    x = 10,622.18

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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.