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Finding the Fourth Proportional to 16,456.64, 24,690.40 and 6,593.60

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Solution

The fourth proportional to 16,456.64, 24,690.40 and 6,593.60 is: 9,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.64 : 24,690.40 = 6,593.60 : x
  2. Step 2: Convert to fraction form
    16,456.64/24,690.40 = 6,593.60/x
  3. Step 3: Cross multiply
    16,456.64x = 24,690.40 × 6,593.60
  4. Step 4: Simplify right side
    16,456.64x = 162,798,621.44
  5. Step 5: Solve for x
    x = 162,798,621.44/16,456.64
  6. Step 6: Final answer
    x = 9,892.58

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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.