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Finding the Fourth Proportional to 15,089.95, 20,823.74 and 8,375.38

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Solution

The fourth proportional to 15,089.95, 20,823.74 and 8,375.38 is: 11,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,089.95 : 20,823.74 = 8,375.38 : x
  2. Step 2: Convert to fraction form
    15,089.95/20,823.74 = 8,375.38/x
  3. Step 3: Cross multiply
    15,089.95x = 20,823.74 × 8,375.38
  4. Step 4: Simplify right side
    15,089.95x = 174,406,589.53
  5. Step 5: Solve for x
    x = 174,406,589.53/15,089.95
  6. Step 6: Final answer
    x = 11,557.80

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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.