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Finding the Fourth Proportional to 22,295.64, 30,768.33 and 12,225

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Solution

The fourth proportional to 22,295.64, 30,768.33 and 12,225 is: 16,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.64 : 30,768.33 = 12,225 : x
  2. Step 2: Convert to fraction form
    22,295.64/30,768.33 = 12,225/x
  3. Step 3: Cross multiply
    22,295.64x = 30,768.33 × 12,225
  4. Step 4: Simplify right side
    22,295.64x = 376,142,834.25
  5. Step 5: Solve for x
    x = 376,142,834.25/22,295.64
  6. Step 6: Final answer
    x = 16,870.69

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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.