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Finding the Fourth Proportional to 16,504.17, 24,754.50 and 4,657.65

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Solution

The fourth proportional to 16,504.17, 24,754.50 and 4,657.65 is: 6,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504.17 : 24,754.50 = 4,657.65 : x
  2. Step 2: Convert to fraction form
    16,504.17/24,754.50 = 4,657.65/x
  3. Step 3: Cross multiply
    16,504.17x = 24,754.50 × 4,657.65
  4. Step 4: Simplify right side
    16,504.17x = 115,297,796.93
  5. Step 5: Solve for x
    x = 115,297,796.93/16,504.17
  6. Step 6: Final answer
    x = 6,985.98

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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.