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Finding the Fourth Proportional to 13,780.66, 20,672.83 and 4,417.57

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Solution

The fourth proportional to 13,780.66, 20,672.83 and 4,417.57 is: 6,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.66 : 20,672.83 = 4,417.57 : x
  2. Step 2: Convert to fraction form
    13,780.66/20,672.83 = 4,417.57/x
  3. Step 3: Cross multiply
    13,780.66x = 20,672.83 × 4,417.57
  4. Step 4: Simplify right side
    13,780.66x = 91,323,639.64
  5. Step 5: Solve for x
    x = 91,323,639.64/13,780.66
  6. Step 6: Final answer
    x = 6,626.94

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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.