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Finding the Fourth Proportional to 13,141.84, 19,713.40 and 5,351.76

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Solution

The fourth proportional to 13,141.84, 19,713.40 and 5,351.76 is: 8,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.84 : 19,713.40 = 5,351.76 : x
  2. Step 2: Convert to fraction form
    13,141.84/19,713.40 = 5,351.76/x
  3. Step 3: Cross multiply
    13,141.84x = 19,713.40 × 5,351.76
  4. Step 4: Simplify right side
    13,141.84x = 105,501,385.58
  5. Step 5: Solve for x
    x = 105,501,385.58/13,141.84
  6. Step 6: Final answer
    x = 8,027.90

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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.