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Finding the Fourth Proportional to 17,419.97, 24,039.74 and 9,462.35

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Solution

The fourth proportional to 17,419.97, 24,039.74 and 9,462.35 is: 13,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,419.97 : 24,039.74 = 9,462.35 : x
  2. Step 2: Convert to fraction form
    17,419.97/24,039.74 = 9,462.35/x
  3. Step 3: Cross multiply
    17,419.97x = 24,039.74 × 9,462.35
  4. Step 4: Simplify right side
    17,419.97x = 227,472,433.79
  5. Step 5: Solve for x
    x = 227,472,433.79/17,419.97
  6. Step 6: Final answer
    x = 13,058.14

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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.