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Finding the Fourth Proportional to 17,414.44, 24,031.74 and 9,860.56

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Solution

The fourth proportional to 17,414.44, 24,031.74 and 9,860.56 is: 13,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.44 : 24,031.74 = 9,860.56 : x
  2. Step 2: Convert to fraction form
    17,414.44/24,031.74 = 9,860.56/x
  3. Step 3: Cross multiply
    17,414.44x = 24,031.74 × 9,860.56
  4. Step 4: Simplify right side
    17,414.44x = 236,966,414.17
  5. Step 5: Solve for x
    x = 236,966,414.17/17,414.44
  6. Step 6: Final answer
    x = 13,607.47

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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.