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Finding the Fourth Proportional to 13,003.84, 19,508.82 and 4,238.74

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Solution

The fourth proportional to 13,003.84, 19,508.82 and 4,238.74 is: 6,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.84 : 19,508.82 = 4,238.74 : x
  2. Step 2: Convert to fraction form
    13,003.84/19,508.82 = 4,238.74/x
  3. Step 3: Cross multiply
    13,003.84x = 19,508.82 × 4,238.74
  4. Step 4: Simplify right side
    13,003.84x = 82,692,815.69
  5. Step 5: Solve for x
    x = 82,692,815.69/13,003.84
  6. Step 6: Final answer
    x = 6,359.11

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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.