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Finding the Fourth Proportional to 22,969.87, 31,698.16 and 12,898.08

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Solution

The fourth proportional to 22,969.87, 31,698.16 and 12,898.08 is: 17,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.87 : 31,698.16 = 12,898.08 : x
  2. Step 2: Convert to fraction form
    22,969.87/31,698.16 = 12,898.08/x
  3. Step 3: Cross multiply
    22,969.87x = 31,698.16 × 12,898.08
  4. Step 4: Simplify right side
    22,969.87x = 408,845,371.29
  5. Step 5: Solve for x
    x = 408,845,371.29/22,969.87
  6. Step 6: Final answer
    x = 17,799.20

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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.