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Finding the Fourth Proportional to 22,250.84, 30,713.84 and 12,823.16

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Solution

The fourth proportional to 22,250.84, 30,713.84 and 12,823.16 is: 17,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,250.84 : 30,713.84 = 12,823.16 : x
  2. Step 2: Convert to fraction form
    22,250.84/30,713.84 = 12,823.16/x
  3. Step 3: Cross multiply
    22,250.84x = 30,713.84 × 12,823.16
  4. Step 4: Simplify right side
    22,250.84x = 393,848,484.53
  5. Step 5: Solve for x
    x = 393,848,484.53/22,250.84
  6. Step 6: Final answer
    x = 17,700.39

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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.