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Finding the Fourth Proportional to 22,154.96, 30,573 and 12,218.96

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Solution

The fourth proportional to 22,154.96, 30,573 and 12,218.96 is: 16,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.96 : 30,573 = 12,218.96 : x
  2. Step 2: Convert to fraction form
    22,154.96/30,573 = 12,218.96/x
  3. Step 3: Cross multiply
    22,154.96x = 30,573 × 12,218.96
  4. Step 4: Simplify right side
    22,154.96x = 373,570,264.08
  5. Step 5: Solve for x
    x = 373,570,264.08/22,154.96
  6. Step 6: Final answer
    x = 16,861.70

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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.