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Finding the Fourth Proportional to 23,762, 35,637.33 and 7,967.59

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Solution

The fourth proportional to 23,762, 35,637.33 and 7,967.59 is: 11,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762 : 35,637.33 = 7,967.59 : x
  2. Step 2: Convert to fraction form
    23,762/35,637.33 = 7,967.59/x
  3. Step 3: Cross multiply
    23,762x = 35,637.33 × 7,967.59
  4. Step 4: Simplify right side
    23,762x = 283,943,634.13
  5. Step 5: Solve for x
    x = 283,943,634.13/23,762
  6. Step 6: Final answer
    x = 11,949.48

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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.