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Finding the Fourth Proportional to 16,401.70, 24,606.15 and 8,085.70

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Solution

The fourth proportional to 16,401.70, 24,606.15 and 8,085.70 is: 12,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.70 : 24,606.15 = 8,085.70 : x
  2. Step 2: Convert to fraction form
    16,401.70/24,606.15 = 8,085.70/x
  3. Step 3: Cross multiply
    16,401.70x = 24,606.15 × 8,085.70
  4. Step 4: Simplify right side
    16,401.70x = 198,957,947.06
  5. Step 5: Solve for x
    x = 198,957,947.06/16,401.70
  6. Step 6: Final answer
    x = 12,130.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.