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Finding the Fourth Proportional to 13,503.69, 20,257.70 and 5,712.57

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Solution

The fourth proportional to 13,503.69, 20,257.70 and 5,712.57 is: 8,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.69 : 20,257.70 = 5,712.57 : x
  2. Step 2: Convert to fraction form
    13,503.69/20,257.70 = 5,712.57/x
  3. Step 3: Cross multiply
    13,503.69x = 20,257.70 × 5,712.57
  4. Step 4: Simplify right side
    13,503.69x = 115,723,500.73
  5. Step 5: Solve for x
    x = 115,723,500.73/13,503.69
  6. Step 6: Final answer
    x = 8,569.77

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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.