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Finding the Fourth Proportional to 13,984.38, 19,298.07 and 7,696.71

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Solution

The fourth proportional to 13,984.38, 19,298.07 and 7,696.71 is: 10,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.38 : 19,298.07 = 7,696.71 : x
  2. Step 2: Convert to fraction form
    13,984.38/19,298.07 = 7,696.71/x
  3. Step 3: Cross multiply
    13,984.38x = 19,298.07 × 7,696.71
  4. Step 4: Simplify right side
    13,984.38x = 148,531,648.35
  5. Step 5: Solve for x
    x = 148,531,648.35/13,984.38
  6. Step 6: Final answer
    x = 10,621.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.