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Finding the Fourth Proportional to 13,011.57, 19,511.82 and 8,853.84

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Solution

The fourth proportional to 13,011.57, 19,511.82 and 8,853.84 is: 13,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.57 : 19,511.82 = 8,853.84 : x
  2. Step 2: Convert to fraction form
    13,011.57/19,511.82 = 8,853.84/x
  3. Step 3: Cross multiply
    13,011.57x = 19,511.82 × 8,853.84
  4. Step 4: Simplify right side
    13,011.57x = 172,754,532.39
  5. Step 5: Solve for x
    x = 172,754,532.39/13,011.57
  6. Step 6: Final answer
    x = 13,276.99

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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.