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Finding the Fourth Proportional to 22,295.78, 30,767.00 and 12,733.78

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Solution

The fourth proportional to 22,295.78, 30,767.00 and 12,733.78 is: 17,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.78 : 30,767.00 = 12,733.78 : x
  2. Step 2: Convert to fraction form
    22,295.78/30,767.00 = 12,733.78/x
  3. Step 3: Cross multiply
    22,295.78x = 30,767.00 × 12,733.78
  4. Step 4: Simplify right side
    22,295.78x = 391,779,991.76
  5. Step 5: Solve for x
    x = 391,779,991.76/22,295.78
  6. Step 6: Final answer
    x = 17,571.93

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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.