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Finding the Fourth Proportional to 12,473.94, 18,698.49 and 6,929.76

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Solution

The fourth proportional to 12,473.94, 18,698.49 and 6,929.76 is: 10,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.94 : 18,698.49 = 6,929.76 : x
  2. Step 2: Convert to fraction form
    12,473.94/18,698.49 = 6,929.76/x
  3. Step 3: Cross multiply
    12,473.94x = 18,698.49 × 6,929.76
  4. Step 4: Simplify right side
    12,473.94x = 129,576,048.06
  5. Step 5: Solve for x
    x = 129,576,048.06/12,473.94
  6. Step 6: Final answer
    x = 10,387.74

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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.