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Finding the Fourth Proportional to 23,172.66, 31,978.26 and 12,562.20

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Solution

The fourth proportional to 23,172.66, 31,978.26 and 12,562.20 is: 17,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172.66 : 31,978.26 = 12,562.20 : x
  2. Step 2: Convert to fraction form
    23,172.66/31,978.26 = 12,562.20/x
  3. Step 3: Cross multiply
    23,172.66x = 31,978.26 × 12,562.20
  4. Step 4: Simplify right side
    23,172.66x = 401,717,297.77
  5. Step 5: Solve for x
    x = 401,717,297.77/23,172.66
  6. Step 6: Final answer
    x = 17,335.83

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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.