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Finding the Fourth Proportional to 15,946.66, 23,922.42 and 8,152.84

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Solution

The fourth proportional to 15,946.66, 23,922.42 and 8,152.84 is: 12,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.66 : 23,922.42 = 8,152.84 : x
  2. Step 2: Convert to fraction form
    15,946.66/23,922.42 = 8,152.84/x
  3. Step 3: Cross multiply
    15,946.66x = 23,922.42 × 8,152.84
  4. Step 4: Simplify right side
    15,946.66x = 195,035,662.67
  5. Step 5: Solve for x
    x = 195,035,662.67/15,946.66
  6. Step 6: Final answer
    x = 12,230.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.