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Finding the Fourth Proportional to 22,226.17, 30,672 and 12,154.63

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Solution

The fourth proportional to 22,226.17, 30,672 and 12,154.63 is: 16,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,226.17 : 30,672 = 12,154.63 : x
  2. Step 2: Convert to fraction form
    22,226.17/30,672 = 12,154.63/x
  3. Step 3: Cross multiply
    22,226.17x = 30,672 × 12,154.63
  4. Step 4: Simplify right side
    22,226.17x = 372,806,811.36
  5. Step 5: Solve for x
    x = 372,806,811.36/22,226.17
  6. Step 6: Final answer
    x = 16,773.33

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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.