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Finding the Fourth Proportional to 22,969.99, 31,697.52 and 12,898.24

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Solution

The fourth proportional to 22,969.99, 31,697.52 and 12,898.24 is: 17,798.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.99 : 31,697.52 = 12,898.24 : x
  2. Step 2: Convert to fraction form
    22,969.99/31,697.52 = 12,898.24/x
  3. Step 3: Cross multiply
    22,969.99x = 31,697.52 × 12,898.24
  4. Step 4: Simplify right side
    22,969.99x = 408,842,220.36
  5. Step 5: Solve for x
    x = 408,842,220.36/22,969.99
  6. Step 6: Final answer
    x = 17,798.97

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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.