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Finding the Fourth Proportional to 15,161.84, 20,923.32 and 8,447.42

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Solution

The fourth proportional to 15,161.84, 20,923.32 and 8,447.42 is: 11,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,161.84 : 20,923.32 = 8,447.42 : x
  2. Step 2: Convert to fraction form
    15,161.84/20,923.32 = 8,447.42/x
  3. Step 3: Cross multiply
    15,161.84x = 20,923.32 × 8,447.42
  4. Step 4: Simplify right side
    15,161.84x = 176,748,071.83
  5. Step 5: Solve for x
    x = 176,748,071.83/15,161.84
  6. Step 6: Final answer
    x = 11,657.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.