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Finding the Fourth Proportional to 16,415.68, 24,608.40 and 6,548.80

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Solution

The fourth proportional to 16,415.68, 24,608.40 and 6,548.80 is: 9,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.68 : 24,608.40 = 6,548.80 : x
  2. Step 2: Convert to fraction form
    16,415.68/24,608.40 = 6,548.80/x
  3. Step 3: Cross multiply
    16,415.68x = 24,608.40 × 6,548.80
  4. Step 4: Simplify right side
    16,415.68x = 161,155,489.92
  5. Step 5: Solve for x
    x = 161,155,489.92/16,415.68
  6. Step 6: Final answer
    x = 9,817.17

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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.