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Finding the Fourth Proportional to 15,756.46, 23,621.93 and 5,894.30

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Solution

The fourth proportional to 15,756.46, 23,621.93 and 5,894.30 is: 8,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.46 : 23,621.93 = 5,894.30 : x
  2. Step 2: Convert to fraction form
    15,756.46/23,621.93 = 5,894.30/x
  3. Step 3: Cross multiply
    15,756.46x = 23,621.93 × 5,894.30
  4. Step 4: Simplify right side
    15,756.46x = 139,234,793.69
  5. Step 5: Solve for x
    x = 139,234,793.69/15,756.46
  6. Step 6: Final answer
    x = 8,836.68

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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.