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Finding the Fourth Proportional to 16,462.15, 24,651.15 and 9,058.48

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Solution

The fourth proportional to 16,462.15, 24,651.15 and 9,058.48 is: 13,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.15 : 24,651.15 = 9,058.48 : x
  2. Step 2: Convert to fraction form
    16,462.15/24,651.15 = 9,058.48/x
  3. Step 3: Cross multiply
    16,462.15x = 24,651.15 × 9,058.48
  4. Step 4: Simplify right side
    16,462.15x = 223,301,949.25
  5. Step 5: Solve for x
    x = 223,301,949.25/16,462.15
  6. Step 6: Final answer
    x = 13,564.57

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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.