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Finding the Fourth Proportional to 15,185.16, 22,775.94 and 4,092.66

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Solution

The fourth proportional to 15,185.16, 22,775.94 and 4,092.66 is: 6,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,185.16 : 22,775.94 = 4,092.66 : x
  2. Step 2: Convert to fraction form
    15,185.16/22,775.94 = 4,092.66/x
  3. Step 3: Cross multiply
    15,185.16x = 22,775.94 × 4,092.66
  4. Step 4: Simplify right side
    15,185.16x = 93,214,178.60
  5. Step 5: Solve for x
    x = 93,214,178.60/15,185.16
  6. Step 6: Final answer
    x = 6,138.50

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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.