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Finding the Fourth Proportional to 21,441.96, 32,169.56 and 9,605.70

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Solution

The fourth proportional to 21,441.96, 32,169.56 and 9,605.70 is: 14,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441.96 : 32,169.56 = 9,605.70 : x
  2. Step 2: Convert to fraction form
    21,441.96/32,169.56 = 9,605.70/x
  3. Step 3: Cross multiply
    21,441.96x = 32,169.56 × 9,605.70
  4. Step 4: Simplify right side
    21,441.96x = 309,011,094.46
  5. Step 5: Solve for x
    x = 309,011,094.46/21,441.96
  6. Step 6: Final answer
    x = 14,411.51

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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.