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Finding the Fourth Proportional to 19,309.41, 28,973.12 and 6,838.88

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Solution

The fourth proportional to 19,309.41, 28,973.12 and 6,838.88 is: 10,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309.41 : 28,973.12 = 6,838.88 : x
  2. Step 2: Convert to fraction form
    19,309.41/28,973.12 = 6,838.88/x
  3. Step 3: Cross multiply
    19,309.41x = 28,973.12 × 6,838.88
  4. Step 4: Simplify right side
    19,309.41x = 198,143,511.85
  5. Step 5: Solve for x
    x = 198,143,511.85/19,309.41
  6. Step 6: Final answer
    x = 10,261.50

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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.