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Finding the Fourth Proportional to 16,175.58, 22,322.13 and 9,005.39

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Solution

The fourth proportional to 16,175.58, 22,322.13 and 9,005.39 is: 12,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.58 : 22,322.13 = 9,005.39 : x
  2. Step 2: Convert to fraction form
    16,175.58/22,322.13 = 9,005.39/x
  3. Step 3: Cross multiply
    16,175.58x = 22,322.13 × 9,005.39
  4. Step 4: Simplify right side
    16,175.58x = 201,019,374.67
  5. Step 5: Solve for x
    x = 201,019,374.67/16,175.58
  6. Step 6: Final answer
    x = 12,427.34

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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.