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Finding the Fourth Proportional to 17,123.86, 23,630.94 and 9,671.86

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Solution

The fourth proportional to 17,123.86, 23,630.94 and 9,671.86 is: 13,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123.86 : 23,630.94 = 9,671.86 : x
  2. Step 2: Convert to fraction form
    17,123.86/23,630.94 = 9,671.86/x
  3. Step 3: Cross multiply
    17,123.86x = 23,630.94 × 9,671.86
  4. Step 4: Simplify right side
    17,123.86x = 228,555,143.35
  5. Step 5: Solve for x
    x = 228,555,143.35/17,123.86
  6. Step 6: Final answer
    x = 13,347.17

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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.