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Finding the Fourth Proportional to 12,025.31, 16,594.43 and 6,989.28

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Solution

The fourth proportional to 12,025.31, 16,594.43 and 6,989.28 is: 9,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.31 : 16,594.43 = 6,989.28 : x
  2. Step 2: Convert to fraction form
    12,025.31/16,594.43 = 6,989.28/x
  3. Step 3: Cross multiply
    12,025.31x = 16,594.43 × 6,989.28
  4. Step 4: Simplify right side
    12,025.31x = 115,983,082.76
  5. Step 5: Solve for x
    x = 115,983,082.76/12,025.31
  6. Step 6: Final answer
    x = 9,644.92

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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.