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Finding the Fourth Proportional to 16,309.66, 22,506.70 and 9,235.66

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Solution

The fourth proportional to 16,309.66, 22,506.70 and 9,235.66 is: 12,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.66 : 22,506.70 = 9,235.66 : x
  2. Step 2: Convert to fraction form
    16,309.66/22,506.70 = 9,235.66/x
  3. Step 3: Cross multiply
    16,309.66x = 22,506.70 × 9,235.66
  4. Step 4: Simplify right side
    16,309.66x = 207,864,228.92
  5. Step 5: Solve for x
    x = 207,864,228.92/16,309.66
  6. Step 6: Final answer
    x = 12,744.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.