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Finding the Fourth Proportional to 22,364.94, 30,864.32 and 12,294.16

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Solution

The fourth proportional to 22,364.94, 30,864.32 and 12,294.16 is: 16,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.94 : 30,864.32 = 12,294.16 : x
  2. Step 2: Convert to fraction form
    22,364.94/30,864.32 = 12,294.16/x
  3. Step 3: Cross multiply
    22,364.94x = 30,864.32 × 12,294.16
  4. Step 4: Simplify right side
    22,364.94x = 379,450,672.58
  5. Step 5: Solve for x
    x = 379,450,672.58/22,364.94
  6. Step 6: Final answer
    x = 16,966.32

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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.