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Finding the Fourth Proportional to 15,194.40, 22,794 and 6,429.36

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Solution

The fourth proportional to 15,194.40, 22,794 and 6,429.36 is: 9,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.40 : 22,794 = 6,429.36 : x
  2. Step 2: Convert to fraction form
    15,194.40/22,794 = 6,429.36/x
  3. Step 3: Cross multiply
    15,194.40x = 22,794 × 6,429.36
  4. Step 4: Simplify right side
    15,194.40x = 146,550,831.84
  5. Step 5: Solve for x
    x = 146,550,831.84/15,194.40
  6. Step 6: Final answer
    x = 9,645.06

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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.