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Finding the Fourth Proportional to 16,274.70, 24,412.05 and 9,708.30

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Solution

The fourth proportional to 16,274.70, 24,412.05 and 9,708.30 is: 14,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.70 : 24,412.05 = 9,708.30 : x
  2. Step 2: Convert to fraction form
    16,274.70/24,412.05 = 9,708.30/x
  3. Step 3: Cross multiply
    16,274.70x = 24,412.05 × 9,708.30
  4. Step 4: Simplify right side
    16,274.70x = 236,999,505.02
  5. Step 5: Solve for x
    x = 236,999,505.02/16,274.70
  6. Step 6: Final answer
    x = 14,562.45

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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.