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Finding the Fourth Proportional to 15,537.98, 21,442.48 and 9,164.64

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Solution

The fourth proportional to 15,537.98, 21,442.48 and 9,164.64 is: 12,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537.98 : 21,442.48 = 9,164.64 : x
  2. Step 2: Convert to fraction form
    15,537.98/21,442.48 = 9,164.64/x
  3. Step 3: Cross multiply
    15,537.98x = 21,442.48 × 9,164.64
  4. Step 4: Simplify right side
    15,537.98x = 196,512,609.91
  5. Step 5: Solve for x
    x = 196,512,609.91/15,537.98
  6. Step 6: Final answer
    x = 12,647.24

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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.