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Finding the Fourth Proportional to 14,012, 19,336.56 and 7,724.52

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Solution

The fourth proportional to 14,012, 19,336.56 and 7,724.52 is: 10,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012 : 19,336.56 = 7,724.52 : x
  2. Step 2: Convert to fraction form
    14,012/19,336.56 = 7,724.52/x
  3. Step 3: Cross multiply
    14,012x = 19,336.56 × 7,724.52
  4. Step 4: Simplify right side
    14,012x = 149,365,644.45
  5. Step 5: Solve for x
    x = 149,365,644.45/14,012
  6. Step 6: Final answer
    x = 10,659.84

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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.