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Finding the Fourth Proportional to 13,752.57, 20,636.86 and 5,854.67

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Solution

The fourth proportional to 13,752.57, 20,636.86 and 5,854.67 is: 8,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.57 : 20,636.86 = 5,854.67 : x
  2. Step 2: Convert to fraction form
    13,752.57/20,636.86 = 5,854.67/x
  3. Step 3: Cross multiply
    13,752.57x = 20,636.86 × 5,854.67
  4. Step 4: Simplify right side
    13,752.57x = 120,822,005.14
  5. Step 5: Solve for x
    x = 120,822,005.14/13,752.57
  6. Step 6: Final answer
    x = 8,785.41

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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.