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Finding the Fourth Proportional to 14,337.16, 19,785.42 and 8,286.94

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Solution

The fourth proportional to 14,337.16, 19,785.42 and 8,286.94 is: 11,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337.16 : 19,785.42 = 8,286.94 : x
  2. Step 2: Convert to fraction form
    14,337.16/19,785.42 = 8,286.94/x
  3. Step 3: Cross multiply
    14,337.16x = 19,785.42 × 8,286.94
  4. Step 4: Simplify right side
    14,337.16x = 163,960,588.41
  5. Step 5: Solve for x
    x = 163,960,588.41/14,337.16
  6. Step 6: Final answer
    x = 11,436.06

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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.