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Finding the Fourth Proportional to 16,159.69, 24,237.71 and 5,627.94

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Solution

The fourth proportional to 16,159.69, 24,237.71 and 5,627.94 is: 8,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.69 : 24,237.71 = 5,627.94 : x
  2. Step 2: Convert to fraction form
    16,159.69/24,237.71 = 5,627.94/x
  3. Step 3: Cross multiply
    16,159.69x = 24,237.71 × 5,627.94
  4. Step 4: Simplify right side
    16,159.69x = 136,408,377.62
  5. Step 5: Solve for x
    x = 136,408,377.62/16,159.69
  6. Step 6: Final answer
    x = 8,441.27

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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.