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Finding the Fourth Proportional to 16,453.74, 24,641.04 and 9,412.41

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Solution

The fourth proportional to 16,453.74, 24,641.04 and 9,412.41 is: 14,095.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.74 : 24,641.04 = 9,412.41 : x
  2. Step 2: Convert to fraction form
    16,453.74/24,641.04 = 9,412.41/x
  3. Step 3: Cross multiply
    16,453.74x = 24,641.04 × 9,412.41
  4. Step 4: Simplify right side
    16,453.74x = 231,931,571.31
  5. Step 5: Solve for x
    x = 231,931,571.31/16,453.74
  6. Step 6: Final answer
    x = 14,095.98

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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.