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Finding the Fourth Proportional to 16,923.27, 23,356.95 and 9,853.86

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Solution

The fourth proportional to 16,923.27, 23,356.95 and 9,853.86 is: 13,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,923.27 : 23,356.95 = 9,853.86 : x
  2. Step 2: Convert to fraction form
    16,923.27/23,356.95 = 9,853.86/x
  3. Step 3: Cross multiply
    16,923.27x = 23,356.95 × 9,853.86
  4. Step 4: Simplify right side
    16,923.27x = 230,156,115.33
  5. Step 5: Solve for x
    x = 230,156,115.33/16,923.27
  6. Step 6: Final answer
    x = 13,599.98

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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.