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Finding the Fourth Proportional to 14,952.13, 20,632.14 and 8,578.37

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Solution

The fourth proportional to 14,952.13, 20,632.14 and 8,578.37 is: 11,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952.13 : 20,632.14 = 8,578.37 : x
  2. Step 2: Convert to fraction form
    14,952.13/20,632.14 = 8,578.37/x
  3. Step 3: Cross multiply
    14,952.13x = 20,632.14 × 8,578.37
  4. Step 4: Simplify right side
    14,952.13x = 176,990,182.39
  5. Step 5: Solve for x
    x = 176,990,182.39/14,952.13
  6. Step 6: Final answer
    x = 11,837.12

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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.