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Finding the Fourth Proportional to 14,081.65, 21,143.23 and 7,853.83

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Solution

The fourth proportional to 14,081.65, 21,143.23 and 7,853.83 is: 11,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.65 : 21,143.23 = 7,853.83 : x
  2. Step 2: Convert to fraction form
    14,081.65/21,143.23 = 7,853.83/x
  3. Step 3: Cross multiply
    14,081.65x = 21,143.23 × 7,853.83
  4. Step 4: Simplify right side
    14,081.65x = 166,055,261.58
  5. Step 5: Solve for x
    x = 166,055,261.58/14,081.65
  6. Step 6: Final answer
    x = 11,792.32

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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.