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Finding the Fourth Proportional to 16,670.40, 24,983.76 and 6,798

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Solution

The fourth proportional to 16,670.40, 24,983.76 and 6,798 is: 10,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,670.40 : 24,983.76 = 6,798 : x
  2. Step 2: Convert to fraction form
    16,670.40/24,983.76 = 6,798/x
  3. Step 3: Cross multiply
    16,670.40x = 24,983.76 × 6,798
  4. Step 4: Simplify right side
    16,670.40x = 169,839,600.48
  5. Step 5: Solve for x
    x = 169,839,600.48/16,670.40
  6. Step 6: Final answer
    x = 10,188.09

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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.