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Finding the Fourth Proportional to 16,978.70, 23,433.38 and 9,427.47

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Solution

The fourth proportional to 16,978.70, 23,433.38 and 9,427.47 is: 13,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.70 : 23,433.38 = 9,427.47 : x
  2. Step 2: Convert to fraction form
    16,978.70/23,433.38 = 9,427.47/x
  3. Step 3: Cross multiply
    16,978.70x = 23,433.38 × 9,427.47
  4. Step 4: Simplify right side
    16,978.70x = 220,917,439.81
  5. Step 5: Solve for x
    x = 220,917,439.81/16,978.70
  6. Step 6: Final answer
    x = 13,011.45

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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.