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Finding the Fourth Proportional to 22,970.08, 31,691.04 and 12,896.80

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Solution

The fourth proportional to 22,970.08, 31,691.04 and 12,896.80 is: 17,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.08 : 31,691.04 = 12,896.80 : x
  2. Step 2: Convert to fraction form
    22,970.08/31,691.04 = 12,896.80/x
  3. Step 3: Cross multiply
    22,970.08x = 31,691.04 × 12,896.80
  4. Step 4: Simplify right side
    22,970.08x = 408,713,004.67
  5. Step 5: Solve for x
    x = 408,713,004.67/22,970.08
  6. Step 6: Final answer
    x = 17,793.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.