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Finding the Fourth Proportional to 13,083.52, 19,616 and 6,154.24

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Solution

The fourth proportional to 13,083.52, 19,616 and 6,154.24 is: 9,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.52 : 19,616 = 6,154.24 : x
  2. Step 2: Convert to fraction form
    13,083.52/19,616 = 6,154.24/x
  3. Step 3: Cross multiply
    13,083.52x = 19,616 × 6,154.24
  4. Step 4: Simplify right side
    13,083.52x = 120,721,571.84
  5. Step 5: Solve for x
    x = 120,721,571.84/13,083.52
  6. Step 6: Final answer
    x = 9,226.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.