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Finding the Fourth Proportional to 14,438.38, 19,924.71 and 8,064.56

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Solution

The fourth proportional to 14,438.38, 19,924.71 and 8,064.56 is: 11,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.38 : 19,924.71 = 8,064.56 : x
  2. Step 2: Convert to fraction form
    14,438.38/19,924.71 = 8,064.56/x
  3. Step 3: Cross multiply
    14,438.38x = 19,924.71 × 8,064.56
  4. Step 4: Simplify right side
    14,438.38x = 160,684,061.53
  5. Step 5: Solve for x
    x = 160,684,061.53/14,438.38
  6. Step 6: Final answer
    x = 11,128.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.