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Finding the Fourth Proportional to 22,596.39, 33,897.76 and 9,445.77

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Solution

The fourth proportional to 22,596.39, 33,897.76 and 9,445.77 is: 14,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.39 : 33,897.76 = 9,445.77 : x
  2. Step 2: Convert to fraction form
    22,596.39/33,897.76 = 9,445.77/x
  3. Step 3: Cross multiply
    22,596.39x = 33,897.76 × 9,445.77
  4. Step 4: Simplify right side
    22,596.39x = 320,190,420.86
  5. Step 5: Solve for x
    x = 320,190,420.86/22,596.39
  6. Step 6: Final answer
    x = 14,169.98

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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.