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Finding the Fourth Proportional to 22,986.48, 31,722.09 and 12,916.86

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Solution

The fourth proportional to 22,986.48, 31,722.09 and 12,916.86 is: 17,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986.48 : 31,722.09 = 12,916.86 : x
  2. Step 2: Convert to fraction form
    22,986.48/31,722.09 = 12,916.86/x
  3. Step 3: Cross multiply
    22,986.48x = 31,722.09 × 12,916.86
  4. Step 4: Simplify right side
    22,986.48x = 409,749,795.44
  5. Step 5: Solve for x
    x = 409,749,795.44/22,986.48
  6. Step 6: Final answer
    x = 17,825.69

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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.