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Finding the Fourth Proportional to 16,411.80, 24,626.40 and 9,491.16

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Solution

The fourth proportional to 16,411.80, 24,626.40 and 9,491.16 is: 14,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.80 : 24,626.40 = 9,491.16 : x
  2. Step 2: Convert to fraction form
    16,411.80/24,626.40 = 9,491.16/x
  3. Step 3: Cross multiply
    16,411.80x = 24,626.40 × 9,491.16
  4. Step 4: Simplify right side
    16,411.80x = 233,733,102.62
  5. Step 5: Solve for x
    x = 233,733,102.62/16,411.80
  6. Step 6: Final answer
    x = 14,241.77

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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.