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Finding the Fourth Proportional to 13,224.94, 19,838.69 and 3,864.74

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Solution

The fourth proportional to 13,224.94, 19,838.69 and 3,864.74 is: 5,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.94 : 19,838.69 = 3,864.74 : x
  2. Step 2: Convert to fraction form
    13,224.94/19,838.69 = 3,864.74/x
  3. Step 3: Cross multiply
    13,224.94x = 19,838.69 × 3,864.74
  4. Step 4: Simplify right side
    13,224.94x = 76,671,409.06
  5. Step 5: Solve for x
    x = 76,671,409.06/13,224.94
  6. Step 6: Final answer
    x = 5,797.49

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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.