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Finding the Fourth Proportional to 21,402.60, 32,094.30 and 9,709.80

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Solution

The fourth proportional to 21,402.60, 32,094.30 and 9,709.80 is: 14,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.60 : 32,094.30 = 9,709.80 : x
  2. Step 2: Convert to fraction form
    21,402.60/32,094.30 = 9,709.80/x
  3. Step 3: Cross multiply
    21,402.60x = 32,094.30 × 9,709.80
  4. Step 4: Simplify right side
    21,402.60x = 311,629,234.14
  5. Step 5: Solve for x
    x = 311,629,234.14/21,402.60
  6. Step 6: Final answer
    x = 14,560.34

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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.