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Finding the Fourth Proportional to 14,284.96, 19,711.52 and 8,315.66

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Solution

The fourth proportional to 14,284.96, 19,711.52 and 8,315.66 is: 11,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.96 : 19,711.52 = 8,315.66 : x
  2. Step 2: Convert to fraction form
    14,284.96/19,711.52 = 8,315.66/x
  3. Step 3: Cross multiply
    14,284.96x = 19,711.52 × 8,315.66
  4. Step 4: Simplify right side
    14,284.96x = 163,914,337.29
  5. Step 5: Solve for x
    x = 163,914,337.29/14,284.96
  6. Step 6: Final answer
    x = 11,474.61

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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.