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Finding the Fourth Proportional to 13,126, 19,698.12 and 5,334.82

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Solution

The fourth proportional to 13,126, 19,698.12 and 5,334.82 is: 8,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126 : 19,698.12 = 5,334.82 : x
  2. Step 2: Convert to fraction form
    13,126/19,698.12 = 5,334.82/x
  3. Step 3: Cross multiply
    13,126x = 19,698.12 × 5,334.82
  4. Step 4: Simplify right side
    13,126x = 105,085,924.54
  5. Step 5: Solve for x
    x = 105,085,924.54/13,126
  6. Step 6: Final answer
    x = 8,005.94

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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.