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Finding the Fourth Proportional to 16,952.14, 25,408.52 and 6,415.46

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Solution

The fourth proportional to 16,952.14, 25,408.52 and 6,415.46 is: 9,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.14 : 25,408.52 = 6,415.46 : x
  2. Step 2: Convert to fraction form
    16,952.14/25,408.52 = 6,415.46/x
  3. Step 3: Cross multiply
    16,952.14x = 25,408.52 × 6,415.46
  4. Step 4: Simplify right side
    16,952.14x = 163,007,343.72
  5. Step 5: Solve for x
    x = 163,007,343.72/16,952.14
  6. Step 6: Final answer
    x = 9,615.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.