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Finding the Fourth Proportional to 13,981.15, 19,294.79 and 8,013.82

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Solution

The fourth proportional to 13,981.15, 19,294.79 and 8,013.82 is: 11,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.15 : 19,294.79 = 8,013.82 : x
  2. Step 2: Convert to fraction form
    13,981.15/19,294.79 = 8,013.82/x
  3. Step 3: Cross multiply
    13,981.15x = 19,294.79 × 8,013.82
  4. Step 4: Simplify right side
    13,981.15x = 154,624,877.52
  5. Step 5: Solve for x
    x = 154,624,877.52/13,981.15
  6. Step 6: Final answer
    x = 11,059.52

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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.