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Finding the Fourth Proportional to 16,585.84, 24,878.58 and 4,273.84

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Solution

The fourth proportional to 16,585.84, 24,878.58 and 4,273.84 is: 6,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.84 : 24,878.58 = 4,273.84 : x
  2. Step 2: Convert to fraction form
    16,585.84/24,878.58 = 4,273.84/x
  3. Step 3: Cross multiply
    16,585.84x = 24,878.58 × 4,273.84
  4. Step 4: Simplify right side
    16,585.84x = 106,327,070.35
  5. Step 5: Solve for x
    x = 106,327,070.35/16,585.84
  6. Step 6: Final answer
    x = 6,410.71

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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.