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Finding the Fourth Proportional to 14,233.23, 19,642.94 and 7,861.04

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Solution

The fourth proportional to 14,233.23, 19,642.94 and 7,861.04 is: 10,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.23 : 19,642.94 = 7,861.04 : x
  2. Step 2: Convert to fraction form
    14,233.23/19,642.94 = 7,861.04/x
  3. Step 3: Cross multiply
    14,233.23x = 19,642.94 × 7,861.04
  4. Step 4: Simplify right side
    14,233.23x = 154,413,937.06
  5. Step 5: Solve for x
    x = 154,413,937.06/14,233.23
  6. Step 6: Final answer
    x = 10,848.83

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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.