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Finding the Fourth Proportional to 22,251.84, 30,715.22 and 12,824.16

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Solution

The fourth proportional to 22,251.84, 30,715.22 and 12,824.16 is: 17,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,251.84 : 30,715.22 = 12,824.16 : x
  2. Step 2: Convert to fraction form
    22,251.84/30,715.22 = 12,824.16/x
  3. Step 3: Cross multiply
    22,251.84x = 30,715.22 × 12,824.16
  4. Step 4: Simplify right side
    22,251.84x = 393,896,895.72
  5. Step 5: Solve for x
    x = 393,896,895.72/22,251.84
  6. Step 6: Final answer
    x = 17,701.77

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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.