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Finding the Fourth Proportional to 25,998, 35,878.91 and 14,663.36

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Solution

The fourth proportional to 25,998, 35,878.91 and 14,663.36 is: 20,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,998 : 35,878.91 = 14,663.36 : x
  2. Step 2: Convert to fraction form
    25,998/35,878.91 = 14,663.36/x
  3. Step 3: Cross multiply
    25,998x = 35,878.91 × 14,663.36
  4. Step 4: Simplify right side
    25,998x = 526,105,121.03
  5. Step 5: Solve for x
    x = 526,105,121.03/25,998
  6. Step 6: Final answer
    x = 20,236.37

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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.