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Finding the Fourth Proportional to 16,423.66, 22,658.94 and 9,965.34

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Solution

The fourth proportional to 16,423.66, 22,658.94 and 9,965.34 is: 13,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.66 : 22,658.94 = 9,965.34 : x
  2. Step 2: Convert to fraction form
    16,423.66/22,658.94 = 9,965.34/x
  3. Step 3: Cross multiply
    16,423.66x = 22,658.94 × 9,965.34
  4. Step 4: Simplify right side
    16,423.66x = 225,804,041.14
  5. Step 5: Solve for x
    x = 225,804,041.14/16,423.66
  6. Step 6: Final answer
    x = 13,748.70

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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.