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Finding the Fourth Proportional to 14,701.74, 20,288.79 and 8,416.14

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Solution

The fourth proportional to 14,701.74, 20,288.79 and 8,416.14 is: 11,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.74 : 20,288.79 = 8,416.14 : x
  2. Step 2: Convert to fraction form
    14,701.74/20,288.79 = 8,416.14/x
  3. Step 3: Cross multiply
    14,701.74x = 20,288.79 × 8,416.14
  4. Step 4: Simplify right side
    14,701.74x = 170,753,297.07
  5. Step 5: Solve for x
    x = 170,753,297.07/14,701.74
  6. Step 6: Final answer
    x = 11,614.50

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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.