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Finding the Fourth Proportional to 16,909.64, 23,325.82 and 9,835.12

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Solution

The fourth proportional to 16,909.64, 23,325.82 and 9,835.12 is: 13,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,909.64 : 23,325.82 = 9,835.12 : x
  2. Step 2: Convert to fraction form
    16,909.64/23,325.82 = 9,835.12/x
  3. Step 3: Cross multiply
    16,909.64x = 23,325.82 × 9,835.12
  4. Step 4: Simplify right side
    16,909.64x = 229,412,238.80
  5. Step 5: Solve for x
    x = 229,412,238.80/16,909.64
  6. Step 6: Final answer
    x = 13,566.95

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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.