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Finding the Fourth Proportional to 12,813.09, 19,222.24 and 5,417.54

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Solution

The fourth proportional to 12,813.09, 19,222.24 and 5,417.54 is: 8,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.09 : 19,222.24 = 5,417.54 : x
  2. Step 2: Convert to fraction form
    12,813.09/19,222.24 = 5,417.54/x
  3. Step 3: Cross multiply
    12,813.09x = 19,222.24 × 5,417.54
  4. Step 4: Simplify right side
    12,813.09x = 104,137,265.50
  5. Step 5: Solve for x
    x = 104,137,265.50/12,813.09
  6. Step 6: Final answer
    x = 8,127.41

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Why These Related Problems?

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