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Finding the Fourth Proportional to 15,012.94, 22,494.74 and 5,146.82

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Solution

The fourth proportional to 15,012.94, 22,494.74 and 5,146.82 is: 7,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012.94 : 22,494.74 = 5,146.82 : x
  2. Step 2: Convert to fraction form
    15,012.94/22,494.74 = 5,146.82/x
  3. Step 3: Cross multiply
    15,012.94x = 22,494.74 × 5,146.82
  4. Step 4: Simplify right side
    15,012.94x = 115,776,377.73
  5. Step 5: Solve for x
    x = 115,776,377.73/15,012.94
  6. Step 6: Final answer
    x = 7,711.77

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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.