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Finding the Fourth Proportional to 22,866.96, 31,558.10 and 12,796.41

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Solution

The fourth proportional to 22,866.96, 31,558.10 and 12,796.41 is: 17,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866.96 : 31,558.10 = 12,796.41 : x
  2. Step 2: Convert to fraction form
    22,866.96/31,558.10 = 12,796.41/x
  3. Step 3: Cross multiply
    22,866.96x = 31,558.10 × 12,796.41
  4. Step 4: Simplify right side
    22,866.96x = 403,830,322.44
  5. Step 5: Solve for x
    x = 403,830,322.44/22,866.96
  6. Step 6: Final answer
    x = 17,659.99

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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.