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Finding the Fourth Proportional to 22,794.98, 31,457.07 and 12,723.12

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Solution

The fourth proportional to 22,794.98, 31,457.07 and 12,723.12 is: 17,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,794.98 : 31,457.07 = 12,723.12 : x
  2. Step 2: Convert to fraction form
    22,794.98/31,457.07 = 12,723.12/x
  3. Step 3: Cross multiply
    22,794.98x = 31,457.07 × 12,723.12
  4. Step 4: Simplify right side
    22,794.98x = 400,232,076.46
  5. Step 5: Solve for x
    x = 400,232,076.46/22,794.98
  6. Step 6: Final answer
    x = 17,557.91

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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.