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Finding the Fourth Proportional to 16,433.76, 22,679.40 and 9,723.31

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Solution

The fourth proportional to 16,433.76, 22,679.40 and 9,723.31 is: 13,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.76 : 22,679.40 = 9,723.31 : x
  2. Step 2: Convert to fraction form
    16,433.76/22,679.40 = 9,723.31/x
  3. Step 3: Cross multiply
    16,433.76x = 22,679.40 × 9,723.31
  4. Step 4: Simplify right side
    16,433.76x = 220,518,836.81
  5. Step 5: Solve for x
    x = 220,518,836.81/16,433.76
  6. Step 6: Final answer
    x = 13,418.65

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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.