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Finding the Fourth Proportional to 16,854.87, 25,285.56 and 6,465.81

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Solution

The fourth proportional to 16,854.87, 25,285.56 and 6,465.81 is: 9,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.87 : 25,285.56 = 6,465.81 : x
  2. Step 2: Convert to fraction form
    16,854.87/25,285.56 = 6,465.81/x
  3. Step 3: Cross multiply
    16,854.87x = 25,285.56 × 6,465.81
  4. Step 4: Simplify right side
    16,854.87x = 163,491,626.70
  5. Step 5: Solve for x
    x = 163,491,626.70/16,854.87
  6. Step 6: Final answer
    x = 9,699.96

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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.