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Finding the Fourth Proportional to 12,538.96, 18,792.24 and 5,967.16

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Solution

The fourth proportional to 12,538.96, 18,792.24 and 5,967.16 is: 8,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.96 : 18,792.24 = 5,967.16 : x
  2. Step 2: Convert to fraction form
    12,538.96/18,792.24 = 5,967.16/x
  3. Step 3: Cross multiply
    12,538.96x = 18,792.24 × 5,967.16
  4. Step 4: Simplify right side
    12,538.96x = 112,136,302.84
  5. Step 5: Solve for x
    x = 112,136,302.84/12,538.96
  6. Step 6: Final answer
    x = 8,943.03

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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.