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Finding the Fourth Proportional to 16,157.12, 22,296.68 and 9,083.58

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Solution

The fourth proportional to 16,157.12, 22,296.68 and 9,083.58 is: 12,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.12 : 22,296.68 = 9,083.58 : x
  2. Step 2: Convert to fraction form
    16,157.12/22,296.68 = 9,083.58/x
  3. Step 3: Cross multiply
    16,157.12x = 22,296.68 × 9,083.58
  4. Step 4: Simplify right side
    16,157.12x = 202,533,676.51
  5. Step 5: Solve for x
    x = 202,533,676.51/16,157.12
  6. Step 6: Final answer
    x = 12,535.26

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