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Finding the Fourth Proportional to 22,681.44, 31,299.12 and 12,745.44

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Solution

The fourth proportional to 22,681.44, 31,299.12 and 12,745.44 is: 17,588.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.44 : 31,299.12 = 12,745.44 : x
  2. Step 2: Convert to fraction form
    22,681.44/31,299.12 = 12,745.44/x
  3. Step 3: Cross multiply
    22,681.44x = 31,299.12 × 12,745.44
  4. Step 4: Simplify right side
    22,681.44x = 398,921,056.01
  5. Step 5: Solve for x
    x = 398,921,056.01/22,681.44
  6. Step 6: Final answer
    x = 17,588.00

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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.