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Finding the Fourth Proportional to 22,385.69, 30,892.33 and 12,314.90

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Solution

The fourth proportional to 22,385.69, 30,892.33 and 12,314.90 is: 16,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385.69 : 30,892.33 = 12,314.90 : x
  2. Step 2: Convert to fraction form
    22,385.69/30,892.33 = 12,314.90/x
  3. Step 3: Cross multiply
    22,385.69x = 30,892.33 × 12,314.90
  4. Step 4: Simplify right side
    22,385.69x = 380,435,966.33
  5. Step 5: Solve for x
    x = 380,435,966.33/22,385.69
  6. Step 6: Final answer
    x = 16,994.60

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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.