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Finding the Fourth Proportional to 15,102.22, 20,851.15 and 9,444.98

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Solution

The fourth proportional to 15,102.22, 20,851.15 and 9,444.98 is: 13,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.22 : 20,851.15 = 9,444.98 : x
  2. Step 2: Convert to fraction form
    15,102.22/20,851.15 = 9,444.98/x
  3. Step 3: Cross multiply
    15,102.22x = 20,851.15 × 9,444.98
  4. Step 4: Simplify right side
    15,102.22x = 196,938,694.73
  5. Step 5: Solve for x
    x = 196,938,694.73/15,102.22
  6. Step 6: Final answer
    x = 13,040.38

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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.