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Finding the Fourth Proportional to 14,698.92, 20,284.50 and 8,411.28

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Solution

The fourth proportional to 14,698.92, 20,284.50 and 8,411.28 is: 11,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.92 : 20,284.50 = 8,411.28 : x
  2. Step 2: Convert to fraction form
    14,698.92/20,284.50 = 8,411.28/x
  3. Step 3: Cross multiply
    14,698.92x = 20,284.50 × 8,411.28
  4. Step 4: Simplify right side
    14,698.92x = 170,618,609.16
  5. Step 5: Solve for x
    x = 170,618,609.16/14,698.92
  6. Step 6: Final answer
    x = 11,607.56

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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.