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Finding the Fourth Proportional to 16,261.63, 24,394.06 and 7,499.05

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Solution

The fourth proportional to 16,261.63, 24,394.06 and 7,499.05 is: 11,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.63 : 24,394.06 = 7,499.05 : x
  2. Step 2: Convert to fraction form
    16,261.63/24,394.06 = 7,499.05/x
  3. Step 3: Cross multiply
    16,261.63x = 24,394.06 × 7,499.05
  4. Step 4: Simplify right side
    16,261.63x = 182,932,224.03
  5. Step 5: Solve for x
    x = 182,932,224.03/16,261.63
  6. Step 6: Final answer
    x = 11,249.32

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Why These Related Problems?

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