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Finding the Fourth Proportional to 16,585.83, 24,869.57 and 6,580.44

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Solution

The fourth proportional to 16,585.83, 24,869.57 and 6,580.44 is: 9,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.83 : 24,869.57 = 6,580.44 : x
  2. Step 2: Convert to fraction form
    16,585.83/24,869.57 = 6,580.44/x
  3. Step 3: Cross multiply
    16,585.83x = 24,869.57 × 6,580.44
  4. Step 4: Simplify right side
    16,585.83x = 163,652,680.31
  5. Step 5: Solve for x
    x = 163,652,680.31/16,585.83
  6. Step 6: Final answer
    x = 9,867.02

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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.