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Finding the Fourth Proportional to 13,398, 20,094.84 and 9,490.56

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Solution

The fourth proportional to 13,398, 20,094.84 and 9,490.56 is: 14,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398 : 20,094.84 = 9,490.56 : x
  2. Step 2: Convert to fraction form
    13,398/20,094.84 = 9,490.56/x
  3. Step 3: Cross multiply
    13,398x = 20,094.84 × 9,490.56
  4. Step 4: Simplify right side
    13,398x = 190,711,284.71
  5. Step 5: Solve for x
    x = 190,711,284.71/13,398
  6. Step 6: Final answer
    x = 14,234.31

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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.