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Finding the Fourth Proportional to 16,865.70, 25,298.55 and 8,117.70

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Solution

The fourth proportional to 16,865.70, 25,298.55 and 8,117.70 is: 12,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,865.70 : 25,298.55 = 8,117.70 : x
  2. Step 2: Convert to fraction form
    16,865.70/25,298.55 = 8,117.70/x
  3. Step 3: Cross multiply
    16,865.70x = 25,298.55 × 8,117.70
  4. Step 4: Simplify right side
    16,865.70x = 205,366,039.34
  5. Step 5: Solve for x
    x = 205,366,039.34/16,865.70
  6. Step 6: Final answer
    x = 12,176.55

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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.