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Finding the Fourth Proportional to 16,874.64, 25,314.38 and 5,188.84

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Solution

The fourth proportional to 16,874.64, 25,314.38 and 5,188.84 is: 7,784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.64 : 25,314.38 = 5,188.84 : x
  2. Step 2: Convert to fraction form
    16,874.64/25,314.38 = 5,188.84/x
  3. Step 3: Cross multiply
    16,874.64x = 25,314.38 × 5,188.84
  4. Step 4: Simplify right side
    16,874.64x = 131,352,267.52
  5. Step 5: Solve for x
    x = 131,352,267.52/16,874.64
  6. Step 6: Final answer
    x = 7,784.00

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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.