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Finding the Fourth Proportional to 15,053.25, 20,772.56 and 8,338.47

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Solution

The fourth proportional to 15,053.25, 20,772.56 and 8,338.47 is: 11,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,053.25 : 20,772.56 = 8,338.47 : x
  2. Step 2: Convert to fraction form
    15,053.25/20,772.56 = 8,338.47/x
  3. Step 3: Cross multiply
    15,053.25x = 20,772.56 × 8,338.47
  4. Step 4: Simplify right side
    15,053.25x = 173,211,368.38
  5. Step 5: Solve for x
    x = 173,211,368.38/15,053.25
  6. Step 6: Final answer
    x = 11,506.58

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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.