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Finding the Fourth Proportional to 21,937.84, 32,906.68 and 6,355.44

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Solution

The fourth proportional to 21,937.84, 32,906.68 and 6,355.44 is: 9,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,937.84 : 32,906.68 = 6,355.44 : x
  2. Step 2: Convert to fraction form
    21,937.84/32,906.68 = 6,355.44/x
  3. Step 3: Cross multiply
    21,937.84x = 32,906.68 × 6,355.44
  4. Step 4: Simplify right side
    21,937.84x = 209,136,430.34
  5. Step 5: Solve for x
    x = 209,136,430.34/21,937.84
  6. Step 6: Final answer
    x = 9,533.14

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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.