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Finding the Fourth Proportional to 21,703.60, 32,539.20 and 9,213.40

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Solution

The fourth proportional to 21,703.60, 32,539.20 and 9,213.40 is: 13,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.60 : 32,539.20 = 9,213.40 : x
  2. Step 2: Convert to fraction form
    21,703.60/32,539.20 = 9,213.40/x
  3. Step 3: Cross multiply
    21,703.60x = 32,539.20 × 9,213.40
  4. Step 4: Simplify right side
    21,703.60x = 299,796,665.28
  5. Step 5: Solve for x
    x = 299,796,665.28/21,703.60
  6. Step 6: Final answer
    x = 13,813.22

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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.