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Finding the Fourth Proportional to 15,694.98, 23,537.47 and 5,162.59

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Solution

The fourth proportional to 15,694.98, 23,537.47 and 5,162.59 is: 7,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.98 : 23,537.47 = 5,162.59 : x
  2. Step 2: Convert to fraction form
    15,694.98/23,537.47 = 5,162.59/x
  3. Step 3: Cross multiply
    15,694.98x = 23,537.47 × 5,162.59
  4. Step 4: Simplify right side
    15,694.98x = 121,514,307.25
  5. Step 5: Solve for x
    x = 121,514,307.25/15,694.98
  6. Step 6: Final answer
    x = 7,742.24

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