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Finding the Fourth Proportional to 23,919, 35,878.20 and 10,762.08

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Solution

The fourth proportional to 23,919, 35,878.20 and 10,762.08 is: 16,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,919 : 35,878.20 = 10,762.08 : x
  2. Step 2: Convert to fraction form
    23,919/35,878.20 = 10,762.08/x
  3. Step 3: Cross multiply
    23,919x = 35,878.20 × 10,762.08
  4. Step 4: Simplify right side
    23,919x = 386,124,058.66
  5. Step 5: Solve for x
    x = 386,124,058.66/23,919
  6. Step 6: Final answer
    x = 16,142.99

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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.