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Finding the Fourth Proportional to 21,350.70, 32,035.65 and 9,657.90

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Solution

The fourth proportional to 21,350.70, 32,035.65 and 9,657.90 is: 14,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,350.70 : 32,035.65 = 9,657.90 : x
  2. Step 2: Convert to fraction form
    21,350.70/32,035.65 = 9,657.90/x
  3. Step 3: Cross multiply
    21,350.70x = 32,035.65 × 9,657.90
  4. Step 4: Simplify right side
    21,350.70x = 309,397,104.14
  5. Step 5: Solve for x
    x = 309,397,104.14/21,350.70
  6. Step 6: Final answer
    x = 14,491.19

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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.