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Finding the Fourth Proportional to 16,218.70, 24,319.94 and 7,446.12

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Solution

The fourth proportional to 16,218.70, 24,319.94 and 7,446.12 is: 11,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.70 : 24,319.94 = 7,446.12 : x
  2. Step 2: Convert to fraction form
    16,218.70/24,319.94 = 7,446.12/x
  3. Step 3: Cross multiply
    16,218.70x = 24,319.94 × 7,446.12
  4. Step 4: Simplify right side
    16,218.70x = 181,089,191.63
  5. Step 5: Solve for x
    x = 181,089,191.63/16,218.70
  6. Step 6: Final answer
    x = 11,165.46

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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.