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Finding the Fourth Proportional to 16,440, 22,706.64 and 11,125.59

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Solution

The fourth proportional to 16,440, 22,706.64 and 11,125.59 is: 15,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,440 : 22,706.64 = 11,125.59 : x
  2. Step 2: Convert to fraction form
    16,440/22,706.64 = 11,125.59/x
  3. Step 3: Cross multiply
    16,440x = 22,706.64 × 11,125.59
  4. Step 4: Simplify right side
    16,440x = 252,624,766.92
  5. Step 5: Solve for x
    x = 252,624,766.92/16,440
  6. Step 6: Final answer
    x = 15,366.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.