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Finding the Fourth Proportional to 22,364.46, 30,865.88 and 14,429.76

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Solution

The fourth proportional to 22,364.46, 30,865.88 and 14,429.76 is: 19,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.46 : 30,865.88 = 14,429.76 : x
  2. Step 2: Convert to fraction form
    22,364.46/30,865.88 = 14,429.76/x
  3. Step 3: Cross multiply
    22,364.46x = 30,865.88 × 14,429.76
  4. Step 4: Simplify right side
    22,364.46x = 445,387,168.44
  5. Step 5: Solve for x
    x = 445,387,168.44/22,364.46
  6. Step 6: Final answer
    x = 19,914.95

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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.