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Finding the Fourth Proportional to 22,966.66, 31,697.16 and 12,759.98

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Solution

The fourth proportional to 22,966.66, 31,697.16 and 12,759.98 is: 17,610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.66 : 31,697.16 = 12,759.98 : x
  2. Step 2: Convert to fraction form
    22,966.66/31,697.16 = 12,759.98/x
  3. Step 3: Cross multiply
    22,966.66x = 31,697.16 × 12,759.98
  4. Step 4: Simplify right side
    22,966.66x = 404,455,127.66
  5. Step 5: Solve for x
    x = 404,455,127.66/22,966.66
  6. Step 6: Final answer
    x = 17,610.53

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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.