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Finding the Fourth Proportional to 15,164.95, 22,736.66 and 5,797.08

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Solution

The fourth proportional to 15,164.95, 22,736.66 and 5,797.08 is: 8,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164.95 : 22,736.66 = 5,797.08 : x
  2. Step 2: Convert to fraction form
    15,164.95/22,736.66 = 5,797.08/x
  3. Step 3: Cross multiply
    15,164.95x = 22,736.66 × 5,797.08
  4. Step 4: Simplify right side
    15,164.95x = 131,806,094.28
  5. Step 5: Solve for x
    x = 131,806,094.28/15,164.95
  6. Step 6: Final answer
    x = 8,691.50

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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.