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Finding the Fourth Proportional to 13,813.22, 19,062.34 and 7,525.60

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Solution

The fourth proportional to 13,813.22, 19,062.34 and 7,525.60 is: 10,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.22 : 19,062.34 = 7,525.60 : x
  2. Step 2: Convert to fraction form
    13,813.22/19,062.34 = 7,525.60/x
  3. Step 3: Cross multiply
    13,813.22x = 19,062.34 × 7,525.60
  4. Step 4: Simplify right side
    13,813.22x = 143,455,479.43
  5. Step 5: Solve for x
    x = 143,455,479.43/13,813.22
  6. Step 6: Final answer
    x = 10,385.37

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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.