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Finding the Fourth Proportional to 35,515.98, 53,282.65 and 11,823.48

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Solution

The fourth proportional to 35,515.98, 53,282.65 and 11,823.48 is: 17,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,515.98 : 53,282.65 = 11,823.48 : x
  2. Step 2: Convert to fraction form
    35,515.98/53,282.65 = 11,823.48/x
  3. Step 3: Cross multiply
    35,515.98x = 53,282.65 × 11,823.48
  4. Step 4: Simplify right side
    35,515.98x = 629,986,346.62
  5. Step 5: Solve for x
    x = 629,986,346.62/35,515.98
  6. Step 6: Final answer
    x = 17,738.11

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