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Finding the Fourth Proportional to 13,781.40, 19,017.78 and 7,814.34

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Solution

The fourth proportional to 13,781.40, 19,017.78 and 7,814.34 is: 10,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.40 : 19,017.78 = 7,814.34 : x
  2. Step 2: Convert to fraction form
    13,781.40/19,017.78 = 7,814.34/x
  3. Step 3: Cross multiply
    13,781.40x = 19,017.78 × 7,814.34
  4. Step 4: Simplify right side
    13,781.40x = 148,611,398.97
  5. Step 5: Solve for x
    x = 148,611,398.97/13,781.40
  6. Step 6: Final answer
    x = 10,783.48

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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.