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Finding the Fourth Proportional to 21,783.89, 32,677.05 and 6,200.30

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Solution

The fourth proportional to 21,783.89, 32,677.05 and 6,200.30 is: 9,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.89 : 32,677.05 = 6,200.30 : x
  2. Step 2: Convert to fraction form
    21,783.89/32,677.05 = 6,200.30/x
  3. Step 3: Cross multiply
    21,783.89x = 32,677.05 × 6,200.30
  4. Step 4: Simplify right side
    21,783.89x = 202,607,381.94
  5. Step 5: Solve for x
    x = 202,607,381.94/21,783.89
  6. Step 6: Final answer
    x = 9,300.79

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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.