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Finding the Fourth Proportional to 16,203.14, 24,288.56 and 6,845.51

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Solution

The fourth proportional to 16,203.14, 24,288.56 and 6,845.51 is: 10,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,203.14 : 24,288.56 = 6,845.51 : x
  2. Step 2: Convert to fraction form
    16,203.14/24,288.56 = 6,845.51/x
  3. Step 3: Cross multiply
    16,203.14x = 24,288.56 × 6,845.51
  4. Step 4: Simplify right side
    16,203.14x = 166,267,632.53
  5. Step 5: Solve for x
    x = 166,267,632.53/16,203.14
  6. Step 6: Final answer
    x = 10,261.45

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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.