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Finding the Fourth Proportional to 14,393.66, 21,559.24 and 6,982.53

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Solution

The fourth proportional to 14,393.66, 21,559.24 and 6,982.53 is: 10,458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393.66 : 21,559.24 = 6,982.53 : x
  2. Step 2: Convert to fraction form
    14,393.66/21,559.24 = 6,982.53/x
  3. Step 3: Cross multiply
    14,393.66x = 21,559.24 × 6,982.53
  4. Step 4: Simplify right side
    14,393.66x = 150,538,005.16
  5. Step 5: Solve for x
    x = 150,538,005.16/14,393.66
  6. Step 6: Final answer
    x = 10,458.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.