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Finding the Fourth Proportional to 22,893.72, 31,586.16 and 12,820.80

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Solution

The fourth proportional to 22,893.72, 31,586.16 and 12,820.80 is: 17,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.72 : 31,586.16 = 12,820.80 : x
  2. Step 2: Convert to fraction form
    22,893.72/31,586.16 = 12,820.80/x
  3. Step 3: Cross multiply
    22,893.72x = 31,586.16 × 12,820.80
  4. Step 4: Simplify right side
    22,893.72x = 404,959,840.13
  5. Step 5: Solve for x
    x = 404,959,840.13/22,893.72
  6. Step 6: Final answer
    x = 17,688.69

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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.