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Finding the Fourth Proportional to 13,864.71, 19,132.41 and 7,896.34

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Solution

The fourth proportional to 13,864.71, 19,132.41 and 7,896.34 is: 10,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.71 : 19,132.41 = 7,896.34 : x
  2. Step 2: Convert to fraction form
    13,864.71/19,132.41 = 7,896.34/x
  3. Step 3: Cross multiply
    13,864.71x = 19,132.41 × 7,896.34
  4. Step 4: Simplify right side
    13,864.71x = 151,076,014.38
  5. Step 5: Solve for x
    x = 151,076,014.38/13,864.71
  6. Step 6: Final answer
    x = 10,896.44

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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.