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Finding the Fourth Proportional to 16,784.80, 25,188.60 and 6,924

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Solution

The fourth proportional to 16,784.80, 25,188.60 and 6,924 is: 10,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784.80 : 25,188.60 = 6,924 : x
  2. Step 2: Convert to fraction form
    16,784.80/25,188.60 = 6,924/x
  3. Step 3: Cross multiply
    16,784.80x = 25,188.60 × 6,924
  4. Step 4: Simplify right side
    16,784.80x = 174,405,866.40
  5. Step 5: Solve for x
    x = 174,405,866.40/16,784.80
  6. Step 6: Final answer
    x = 10,390.70

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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.