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Finding the Fourth Proportional to 25,829.88, 38,751.36 and 7,361.88

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Solution

The fourth proportional to 25,829.88, 38,751.36 and 7,361.88 is: 11,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829.88 : 38,751.36 = 7,361.88 : x
  2. Step 2: Convert to fraction form
    25,829.88/38,751.36 = 7,361.88/x
  3. Step 3: Cross multiply
    25,829.88x = 38,751.36 × 7,361.88
  4. Step 4: Simplify right side
    25,829.88x = 285,282,862.16
  5. Step 5: Solve for x
    x = 285,282,862.16/25,829.88
  6. Step 6: Final answer
    x = 11,044.68

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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.