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Finding the Fourth Proportional to 16,864.45, 25,297.89 and 6,476.20

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Solution

The fourth proportional to 16,864.45, 25,297.89 and 6,476.20 is: 9,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864.45 : 25,297.89 = 6,476.20 : x
  2. Step 2: Convert to fraction form
    16,864.45/25,297.89 = 6,476.20/x
  3. Step 3: Cross multiply
    16,864.45x = 25,297.89 × 6,476.20
  4. Step 4: Simplify right side
    16,864.45x = 163,834,068.73
  5. Step 5: Solve for x
    x = 163,834,068.73/16,864.45
  6. Step 6: Final answer
    x = 9,714.76

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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.