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Finding the Fourth Proportional to 13,618.83, 20,392.61 and 8,924.07

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Solution

The fourth proportional to 13,618.83, 20,392.61 and 8,924.07 is: 13,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.83 : 20,392.61 = 8,924.07 : x
  2. Step 2: Convert to fraction form
    13,618.83/20,392.61 = 8,924.07/x
  3. Step 3: Cross multiply
    13,618.83x = 20,392.61 × 8,924.07
  4. Step 4: Simplify right side
    13,618.83x = 181,985,034.50
  5. Step 5: Solve for x
    x = 181,985,034.50/13,618.83
  6. Step 6: Final answer
    x = 13,362.75

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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.