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Finding the Fourth Proportional to 16,058.59, 22,169.60 and 9,686.32

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Solution

The fourth proportional to 16,058.59, 22,169.60 and 9,686.32 is: 13,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,058.59 : 22,169.60 = 9,686.32 : x
  2. Step 2: Convert to fraction form
    16,058.59/22,169.60 = 9,686.32/x
  3. Step 3: Cross multiply
    16,058.59x = 22,169.60 × 9,686.32
  4. Step 4: Simplify right side
    16,058.59x = 214,741,772.34
  5. Step 5: Solve for x
    x = 214,741,772.34/16,058.59
  6. Step 6: Final answer
    x = 13,372.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.