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Finding the Fourth Proportional to 22,969.96, 31,698.16 and 12,898.42

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Solution

The fourth proportional to 22,969.96, 31,698.16 and 12,898.42 is: 17,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.96 : 31,698.16 = 12,898.42 : x
  2. Step 2: Convert to fraction form
    22,969.96/31,698.16 = 12,898.42/x
  3. Step 3: Cross multiply
    22,969.96x = 31,698.16 × 12,898.42
  4. Step 4: Simplify right side
    22,969.96x = 408,856,069.42
  5. Step 5: Solve for x
    x = 408,856,069.42/22,969.96
  6. Step 6: Final answer
    x = 17,799.60

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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.