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Finding the Fourth Proportional to 14,286.67, 19,712.12 and 8,314.74

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Solution

The fourth proportional to 14,286.67, 19,712.12 and 8,314.74 is: 11,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.67 : 19,712.12 = 8,314.74 : x
  2. Step 2: Convert to fraction form
    14,286.67/19,712.12 = 8,314.74/x
  3. Step 3: Cross multiply
    14,286.67x = 19,712.12 × 8,314.74
  4. Step 4: Simplify right side
    14,286.67x = 163,901,152.65
  5. Step 5: Solve for x
    x = 163,901,152.65/14,286.67
  6. Step 6: Final answer
    x = 11,472.31

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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.