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Finding the Fourth Proportional to 21,507.46, 32,224.78 and 13,170.07

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Solution

The fourth proportional to 21,507.46, 32,224.78 and 13,170.07 is: 19,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.46 : 32,224.78 = 13,170.07 : x
  2. Step 2: Convert to fraction form
    21,507.46/32,224.78 = 13,170.07/x
  3. Step 3: Cross multiply
    21,507.46x = 32,224.78 × 13,170.07
  4. Step 4: Simplify right side
    21,507.46x = 424,402,608.33
  5. Step 5: Solve for x
    x = 424,402,608.33/21,507.46
  6. Step 6: Final answer
    x = 19,732.81

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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.