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Finding the Fourth Proportional to 15,222.72, 22,837.14 and 5,368.98

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Solution

The fourth proportional to 15,222.72, 22,837.14 and 5,368.98 is: 8,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,222.72 : 22,837.14 = 5,368.98 : x
  2. Step 2: Convert to fraction form
    15,222.72/22,837.14 = 5,368.98/x
  3. Step 3: Cross multiply
    15,222.72x = 22,837.14 × 5,368.98
  4. Step 4: Simplify right side
    15,222.72x = 122,612,147.92
  5. Step 5: Solve for x
    x = 122,612,147.92/15,222.72
  6. Step 6: Final answer
    x = 8,054.55

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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.