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Finding the Fourth Proportional to 18,398.80, 25,392.84 and 10,946

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Solution

The fourth proportional to 18,398.80, 25,392.84 and 10,946 is: 15,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,398.80 : 25,392.84 = 10,946 : x
  2. Step 2: Convert to fraction form
    18,398.80/25,392.84 = 10,946/x
  3. Step 3: Cross multiply
    18,398.80x = 25,392.84 × 10,946
  4. Step 4: Simplify right side
    18,398.80x = 277,950,026.64
  5. Step 5: Solve for x
    x = 277,950,026.64/18,398.80
  6. Step 6: Final answer
    x = 15,106.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.