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Finding the Fourth Proportional to 16,863.95, 25,297.14 and 6,475.70

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Solution

The fourth proportional to 16,863.95, 25,297.14 and 6,475.70 is: 9,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863.95 : 25,297.14 = 6,475.70 : x
  2. Step 2: Convert to fraction form
    16,863.95/25,297.14 = 6,475.70/x
  3. Step 3: Cross multiply
    16,863.95x = 25,297.14 × 6,475.70
  4. Step 4: Simplify right side
    16,863.95x = 163,816,563.01
  5. Step 5: Solve for x
    x = 163,816,563.01/16,863.95
  6. Step 6: Final answer
    x = 9,714.01

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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.