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Finding the Fourth Proportional to 21,507.56, 32,224.93 and 13,170.17

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Solution

The fourth proportional to 21,507.56, 32,224.93 and 13,170.17 is: 19,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.56 : 32,224.93 = 13,170.17 : x
  2. Step 2: Convert to fraction form
    21,507.56/32,224.93 = 13,170.17/x
  3. Step 3: Cross multiply
    21,507.56x = 32,224.93 × 13,170.17
  4. Step 4: Simplify right side
    21,507.56x = 424,407,853.97
  5. Step 5: Solve for x
    x = 424,407,853.97/21,507.56
  6. Step 6: Final answer
    x = 19,732.97

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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.