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Finding the Fourth Proportional to 12,468.81, 17,210.52 and 7,369.05

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Solution

The fourth proportional to 12,468.81, 17,210.52 and 7,369.05 is: 10,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.81 : 17,210.52 = 7,369.05 : x
  2. Step 2: Convert to fraction form
    12,468.81/17,210.52 = 7,369.05/x
  3. Step 3: Cross multiply
    12,468.81x = 17,210.52 × 7,369.05
  4. Step 4: Simplify right side
    12,468.81x = 126,825,182.41
  5. Step 5: Solve for x
    x = 126,825,182.41/12,468.81
  6. Step 6: Final answer
    x = 10,171.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.