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Finding the Fourth Proportional to 17,580.72, 24,261.22 and 9,514.20

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Solution

The fourth proportional to 17,580.72, 24,261.22 and 9,514.20 is: 13,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580.72 : 24,261.22 = 9,514.20 : x
  2. Step 2: Convert to fraction form
    17,580.72/24,261.22 = 9,514.20/x
  3. Step 3: Cross multiply
    17,580.72x = 24,261.22 × 9,514.20
  4. Step 4: Simplify right side
    17,580.72x = 230,826,099.32
  5. Step 5: Solve for x
    x = 230,826,099.32/17,580.72
  6. Step 6: Final answer
    x = 13,129.50

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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.