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Finding the Fourth Proportional to 19,291.16, 28,936.69 and 6,143.50

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Solution

The fourth proportional to 19,291.16, 28,936.69 and 6,143.50 is: 9,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,291.16 : 28,936.69 = 6,143.50 : x
  2. Step 2: Convert to fraction form
    19,291.16/28,936.69 = 6,143.50/x
  3. Step 3: Cross multiply
    19,291.16x = 28,936.69 × 6,143.50
  4. Step 4: Simplify right side
    19,291.16x = 177,772,447.62
  5. Step 5: Solve for x
    x = 177,772,447.62/19,291.16
  6. Step 6: Final answer
    x = 9,215.23

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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.