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Finding the Fourth Proportional to 21,918, 32,881.32 and 7,127.28

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Solution

The fourth proportional to 21,918, 32,881.32 and 7,127.28 is: 10,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,918 : 32,881.32 = 7,127.28 : x
  2. Step 2: Convert to fraction form
    21,918/32,881.32 = 7,127.28/x
  3. Step 3: Cross multiply
    21,918x = 32,881.32 × 7,127.28
  4. Step 4: Simplify right side
    21,918x = 234,354,374.41
  5. Step 5: Solve for x
    x = 234,354,374.41/21,918
  6. Step 6: Final answer
    x = 10,692.32

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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.