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Finding the Fourth Proportional to 13,615.32, 18,790.70 and 7,648.91

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Solution

The fourth proportional to 13,615.32, 18,790.70 and 7,648.91 is: 10,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.32 : 18,790.70 = 7,648.91 : x
  2. Step 2: Convert to fraction form
    13,615.32/18,790.70 = 7,648.91/x
  3. Step 3: Cross multiply
    13,615.32x = 18,790.70 × 7,648.91
  4. Step 4: Simplify right side
    13,615.32x = 143,728,373.14
  5. Step 5: Solve for x
    x = 143,728,373.14/13,615.32
  6. Step 6: Final answer
    x = 10,556.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.