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Finding the Fourth Proportional to 15,409.78, 21,265.44 and 8,336.20

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Solution

The fourth proportional to 15,409.78, 21,265.44 and 8,336.20 is: 11,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.78 : 21,265.44 = 8,336.20 : x
  2. Step 2: Convert to fraction form
    15,409.78/21,265.44 = 8,336.20/x
  3. Step 3: Cross multiply
    15,409.78x = 21,265.44 × 8,336.20
  4. Step 4: Simplify right side
    15,409.78x = 177,272,916.38
  5. Step 5: Solve for x
    x = 177,272,916.38/15,409.78
  6. Step 6: Final answer
    x = 11,503.92

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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.