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Finding the Fourth Proportional to 16,785.83, 25,165.08 and 9,382.84

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Solution

The fourth proportional to 16,785.83, 25,165.08 and 9,382.84 is: 14,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,785.83 : 25,165.08 = 9,382.84 : x
  2. Step 2: Convert to fraction form
    16,785.83/25,165.08 = 9,382.84/x
  3. Step 3: Cross multiply
    16,785.83x = 25,165.08 × 9,382.84
  4. Step 4: Simplify right side
    16,785.83x = 236,119,856.31
  5. Step 5: Solve for x
    x = 236,119,856.31/16,785.83
  6. Step 6: Final answer
    x = 14,066.62

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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.