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Finding the Fourth Proportional to 13,224.87, 19,840.04 and 5,829.17

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Solution

The fourth proportional to 13,224.87, 19,840.04 and 5,829.17 is: 8,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.87 : 19,840.04 = 5,829.17 : x
  2. Step 2: Convert to fraction form
    13,224.87/19,840.04 = 5,829.17/x
  3. Step 3: Cross multiply
    13,224.87x = 19,840.04 × 5,829.17
  4. Step 4: Simplify right side
    13,224.87x = 115,650,859.48
  5. Step 5: Solve for x
    x = 115,650,859.48/13,224.87
  6. Step 6: Final answer
    x = 8,744.95

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1.5x scale

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.