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Finding the Fourth Proportional to 14,438.16, 19,924.74 and 8,469.95

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Solution

The fourth proportional to 14,438.16, 19,924.74 and 8,469.95 is: 11,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.16 : 19,924.74 = 8,469.95 : x
  2. Step 2: Convert to fraction form
    14,438.16/19,924.74 = 8,469.95/x
  3. Step 3: Cross multiply
    14,438.16x = 19,924.74 × 8,469.95
  4. Step 4: Simplify right side
    14,438.16x = 168,761,451.94
  5. Step 5: Solve for x
    x = 168,761,451.94/14,438.16
  6. Step 6: Final answer
    x = 11,688.57

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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.