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Finding the Fourth Proportional to 12,811.40, 19,089.74 and 11,414

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Solution

The fourth proportional to 12,811.40, 19,089.74 and 11,414 is: 17,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.40 : 19,089.74 = 11,414 : x
  2. Step 2: Convert to fraction form
    12,811.40/19,089.74 = 11,414/x
  3. Step 3: Cross multiply
    12,811.40x = 19,089.74 × 11,414
  4. Step 4: Simplify right side
    12,811.40x = 217,890,292.36
  5. Step 5: Solve for x
    x = 217,890,292.36/12,811.40
  6. Step 6: Final answer
    x = 17,007.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.