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Finding the Fourth Proportional to 14,284.92, 19,709.80 and 8,313

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Solution

The fourth proportional to 14,284.92, 19,709.80 and 8,313 is: 11,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.92 : 19,709.80 = 8,313 : x
  2. Step 2: Convert to fraction form
    14,284.92/19,709.80 = 8,313/x
  3. Step 3: Cross multiply
    14,284.92x = 19,709.80 × 8,313
  4. Step 4: Simplify right side
    14,284.92x = 163,847,567.40
  5. Step 5: Solve for x
    x = 163,847,567.40/14,284.92
  6. Step 6: Final answer
    x = 11,469.97

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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.