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Finding the Fourth Proportional to 14,587.97, 21,883.10 and 7,188.39

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Solution

The fourth proportional to 14,587.97, 21,883.10 and 7,188.39 is: 10,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.97 : 21,883.10 = 7,188.39 : x
  2. Step 2: Convert to fraction form
    14,587.97/21,883.10 = 7,188.39/x
  3. Step 3: Cross multiply
    14,587.97x = 21,883.10 × 7,188.39
  4. Step 4: Simplify right side
    14,587.97x = 157,304,221.27
  5. Step 5: Solve for x
    x = 157,304,221.27/14,587.97
  6. Step 6: Final answer
    x = 10,783.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.