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Finding the Fourth Proportional to 21,568.44, 32,159.12 and 21,174.78

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Solution

The fourth proportional to 21,568.44, 32,159.12 and 21,174.78 is: 31,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.44 : 32,159.12 = 21,174.78 : x
  2. Step 2: Convert to fraction form
    21,568.44/32,159.12 = 21,174.78/x
  3. Step 3: Cross multiply
    21,568.44x = 32,159.12 × 21,174.78
  4. Step 4: Simplify right side
    21,568.44x = 680,962,185.12
  5. Step 5: Solve for x
    x = 680,962,185.12/21,568.44
  6. Step 6: Final answer
    x = 31,572.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.