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Finding the Fourth Proportional to 14,717.44, 22,065.36 and 6,922

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Solution

The fourth proportional to 14,717.44, 22,065.36 and 6,922 is: 10,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,717.44 : 22,065.36 = 6,922 : x
  2. Step 2: Convert to fraction form
    14,717.44/22,065.36 = 6,922/x
  3. Step 3: Cross multiply
    14,717.44x = 22,065.36 × 6,922
  4. Step 4: Simplify right side
    14,717.44x = 152,736,421.92
  5. Step 5: Solve for x
    x = 152,736,421.92/14,717.44
  6. Step 6: Final answer
    x = 10,377.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.