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Finding the Fourth Proportional to 21,640.42, 32,473.32 and 9,159.67

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Solution

The fourth proportional to 21,640.42, 32,473.32 and 9,159.67 is: 13,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.42 : 32,473.32 = 9,159.67 : x
  2. Step 2: Convert to fraction form
    21,640.42/32,473.32 = 9,159.67/x
  3. Step 3: Cross multiply
    21,640.42x = 32,473.32 × 9,159.67
  4. Step 4: Simplify right side
    21,640.42x = 297,444,895.00
  5. Step 5: Solve for x
    x = 297,444,895.00/21,640.42
  6. Step 6: Final answer
    x = 13,744.88

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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.