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Finding the Fourth Proportional to 18,853.16, 28,268.95 and 7,767.50

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Solution

The fourth proportional to 18,853.16, 28,268.95 and 7,767.50 is: 11,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,853.16 : 28,268.95 = 7,767.50 : x
  2. Step 2: Convert to fraction form
    18,853.16/28,268.95 = 7,767.50/x
  3. Step 3: Cross multiply
    18,853.16x = 28,268.95 × 7,767.50
  4. Step 4: Simplify right side
    18,853.16x = 219,578,922.93
  5. Step 5: Solve for x
    x = 219,578,922.93/18,853.16
  6. Step 6: Final answer
    x = 11,646.80

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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.