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Finding the Fourth Proportional to 16,235.38, 24,344.43 and 9,574.66

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Solution

The fourth proportional to 16,235.38, 24,344.43 and 9,574.66 is: 14,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.38 : 24,344.43 = 9,574.66 : x
  2. Step 2: Convert to fraction form
    16,235.38/24,344.43 = 9,574.66/x
  3. Step 3: Cross multiply
    16,235.38x = 24,344.43 × 9,574.66
  4. Step 4: Simplify right side
    16,235.38x = 233,089,640.14
  5. Step 5: Solve for x
    x = 233,089,640.14/16,235.38
  6. Step 6: Final answer
    x = 14,356.89

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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.