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Finding the Fourth Proportional to 14,165.65, 19,548.19 and 7,792.23

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Solution

The fourth proportional to 14,165.65, 19,548.19 and 7,792.23 is: 10,753.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.65 : 19,548.19 = 7,792.23 : x
  2. Step 2: Convert to fraction form
    14,165.65/19,548.19 = 7,792.23/x
  3. Step 3: Cross multiply
    14,165.65x = 19,548.19 × 7,792.23
  4. Step 4: Simplify right side
    14,165.65x = 152,324,042.55
  5. Step 5: Solve for x
    x = 152,324,042.55/14,165.65
  6. Step 6: Final answer
    x = 10,753.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.