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Finding the Fourth Proportional to 14,396, 19,873.14 and 10,150.52

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Solution

The fourth proportional to 14,396, 19,873.14 and 10,150.52 is: 14,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396 : 19,873.14 = 10,150.52 : x
  2. Step 2: Convert to fraction form
    14,396/19,873.14 = 10,150.52/x
  3. Step 3: Cross multiply
    14,396x = 19,873.14 × 10,150.52
  4. Step 4: Simplify right side
    14,396x = 201,722,705.03
  5. Step 5: Solve for x
    x = 201,722,705.03/14,396
  6. Step 6: Final answer
    x = 14,012.41

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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.