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Finding the Fourth Proportional to 15,200.97, 22,803.74 and 5,338.51

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Solution

The fourth proportional to 15,200.97, 22,803.74 and 5,338.51 is: 8,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.97 : 22,803.74 = 5,338.51 : x
  2. Step 2: Convert to fraction form
    15,200.97/22,803.74 = 5,338.51/x
  3. Step 3: Cross multiply
    15,200.97x = 22,803.74 × 5,338.51
  4. Step 4: Simplify right side
    15,200.97x = 121,737,994.03
  5. Step 5: Solve for x
    x = 121,737,994.03/15,200.97
  6. Step 6: Final answer
    x = 8,008.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.