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Finding the Fourth Proportional to 21,883.14, 32,817.69 and 7,088.49

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Solution

The fourth proportional to 21,883.14, 32,817.69 and 7,088.49 is: 10,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,883.14 : 32,817.69 = 7,088.49 : x
  2. Step 2: Convert to fraction form
    21,883.14/32,817.69 = 7,088.49/x
  3. Step 3: Cross multiply
    21,883.14x = 32,817.69 × 7,088.49
  4. Step 4: Simplify right side
    21,883.14x = 232,627,867.39
  5. Step 5: Solve for x
    x = 232,627,867.39/21,883.14
  6. Step 6: Final answer
    x = 10,630.46

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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.