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Finding the Fourth Proportional to 13,772.88, 19,006.38 and 7,485.12

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Solution

The fourth proportional to 13,772.88, 19,006.38 and 7,485.12 is: 10,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.88 : 19,006.38 = 7,485.12 : x
  2. Step 2: Convert to fraction form
    13,772.88/19,006.38 = 7,485.12/x
  3. Step 3: Cross multiply
    13,772.88x = 19,006.38 × 7,485.12
  4. Step 4: Simplify right side
    13,772.88x = 142,265,035.07
  5. Step 5: Solve for x
    x = 142,265,035.07/13,772.88
  6. Step 6: Final answer
    x = 10,329.36

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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.