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Finding the Fourth Proportional to 16,686.84, 25,032.44 and 6,164.24

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Solution

The fourth proportional to 16,686.84, 25,032.44 and 6,164.24 is: 9,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,686.84 : 25,032.44 = 6,164.24 : x
  2. Step 2: Convert to fraction form
    16,686.84/25,032.44 = 6,164.24/x
  3. Step 3: Cross multiply
    16,686.84x = 25,032.44 × 6,164.24
  4. Step 4: Simplify right side
    16,686.84x = 154,305,811.96
  5. Step 5: Solve for x
    x = 154,305,811.96/16,686.84
  6. Step 6: Final answer
    x = 9,247.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.