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Finding the Fourth Proportional to 16,853.32, 25,272.18 and 9,835.38

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Solution

The fourth proportional to 16,853.32, 25,272.18 and 9,835.38 is: 14,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.32 : 25,272.18 = 9,835.38 : x
  2. Step 2: Convert to fraction form
    16,853.32/25,272.18 = 9,835.38/x
  3. Step 3: Cross multiply
    16,853.32x = 25,272.18 × 9,835.38
  4. Step 4: Simplify right side
    16,853.32x = 248,561,493.73
  5. Step 5: Solve for x
    x = 248,561,493.73/16,853.32
  6. Step 6: Final answer
    x = 14,748.52

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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.