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Finding the Fourth Proportional to 12,403.72, 17,119.16 and 9,575.20

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Solution

The fourth proportional to 12,403.72, 17,119.16 and 9,575.20 is: 13,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.72 : 17,119.16 = 9,575.20 : x
  2. Step 2: Convert to fraction form
    12,403.72/17,119.16 = 9,575.20/x
  3. Step 3: Cross multiply
    12,403.72x = 17,119.16 × 9,575.20
  4. Step 4: Simplify right side
    12,403.72x = 163,919,380.83
  5. Step 5: Solve for x
    x = 163,919,380.83/12,403.72
  6. Step 6: Final answer
    x = 13,215.34

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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.