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Finding the Fourth Proportional to 16,854.75, 25,286.18 and 6,466.50

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Solution

The fourth proportional to 16,854.75, 25,286.18 and 6,466.50 is: 9,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.75 : 25,286.18 = 6,466.50 : x
  2. Step 2: Convert to fraction form
    16,854.75/25,286.18 = 6,466.50/x
  3. Step 3: Cross multiply
    16,854.75x = 25,286.18 × 6,466.50
  4. Step 4: Simplify right side
    16,854.75x = 163,513,050.64
  5. Step 5: Solve for x
    x = 163,513,050.64/16,854.75
  6. Step 6: Final answer
    x = 9,701.30

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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.