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Finding the Fourth Proportional to 16,905, 25,360.86 and 5,217.72

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Solution

The fourth proportional to 16,905, 25,360.86 and 5,217.72 is: 7,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,905 : 25,360.86 = 5,217.72 : x
  2. Step 2: Convert to fraction form
    16,905/25,360.86 = 5,217.72/x
  3. Step 3: Cross multiply
    16,905x = 25,360.86 × 5,217.72
  4. Step 4: Simplify right side
    16,905x = 132,325,866.44
  5. Step 5: Solve for x
    x = 132,325,866.44/16,905
  6. Step 6: Final answer
    x = 7,827.62

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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.