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Finding the Fourth Proportional to 21,892.80, 32,847.30 and 7,102.20

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Solution

The fourth proportional to 21,892.80, 32,847.30 and 7,102.20 is: 10,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.80 : 32,847.30 = 7,102.20 : x
  2. Step 2: Convert to fraction form
    21,892.80/32,847.30 = 7,102.20/x
  3. Step 3: Cross multiply
    21,892.80x = 32,847.30 × 7,102.20
  4. Step 4: Simplify right side
    21,892.80x = 233,288,094.06
  5. Step 5: Solve for x
    x = 233,288,094.06/21,892.80
  6. Step 6: Final answer
    x = 10,655.93

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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.