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Finding the Fourth Proportional to 22,946.46, 34,422.81 and 7,152.60

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Solution

The fourth proportional to 22,946.46, 34,422.81 and 7,152.60 is: 10,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946.46 : 34,422.81 = 7,152.60 : x
  2. Step 2: Convert to fraction form
    22,946.46/34,422.81 = 7,152.60/x
  3. Step 3: Cross multiply
    22,946.46x = 34,422.81 × 7,152.60
  4. Step 4: Simplify right side
    22,946.46x = 246,212,590.81
  5. Step 5: Solve for x
    x = 246,212,590.81/22,946.46
  6. Step 6: Final answer
    x = 10,729.87

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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.