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Finding the Fourth Proportional to 13,340.70, 18,414 and 9,362.79

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Solution

The fourth proportional to 13,340.70, 18,414 and 9,362.79 is: 12,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,340.70 : 18,414 = 9,362.79 : x
  2. Step 2: Convert to fraction form
    13,340.70/18,414 = 9,362.79/x
  3. Step 3: Cross multiply
    13,340.70x = 18,414 × 9,362.79
  4. Step 4: Simplify right side
    13,340.70x = 172,406,415.06
  5. Step 5: Solve for x
    x = 172,406,415.06/13,340.70
  6. Step 6: Final answer
    x = 12,923.34

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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.