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Finding the Fourth Proportional to 13,715.70, 20,567.72 and 5,394.39

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Solution

The fourth proportional to 13,715.70, 20,567.72 and 5,394.39 is: 8,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.70 : 20,567.72 = 5,394.39 : x
  2. Step 2: Convert to fraction form
    13,715.70/20,567.72 = 5,394.39/x
  3. Step 3: Cross multiply
    13,715.70x = 20,567.72 × 5,394.39
  4. Step 4: Simplify right side
    13,715.70x = 110,950,303.09
  5. Step 5: Solve for x
    x = 110,950,303.09/13,715.70
  6. Step 6: Final answer
    x = 8,089.29

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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.