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Finding the Fourth Proportional to 14,474.90, 19,969.01 and 8,503.87

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Solution

The fourth proportional to 14,474.90, 19,969.01 and 8,503.87 is: 11,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.90 : 19,969.01 = 8,503.87 : x
  2. Step 2: Convert to fraction form
    14,474.90/19,969.01 = 8,503.87/x
  3. Step 3: Cross multiply
    14,474.90x = 19,969.01 × 8,503.87
  4. Step 4: Simplify right side
    14,474.90x = 169,813,836.41
  5. Step 5: Solve for x
    x = 169,813,836.41/14,474.90
  6. Step 6: Final answer
    x = 11,731.61

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Why These Related Problems?

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