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Finding the Fourth Proportional to 14,137.70, 21,214.71 and 7,567.56

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Solution

The fourth proportional to 14,137.70, 21,214.71 and 7,567.56 is: 11,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.70 : 21,214.71 = 7,567.56 : x
  2. Step 2: Convert to fraction form
    14,137.70/21,214.71 = 7,567.56/x
  3. Step 3: Cross multiply
    14,137.70x = 21,214.71 × 7,567.56
  4. Step 4: Simplify right side
    14,137.70x = 160,543,590.81
  5. Step 5: Solve for x
    x = 160,543,590.81/14,137.70
  6. Step 6: Final answer
    x = 11,355.71

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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.