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Finding the Fourth Proportional to 16,356.02, 24,529.14 and 5,824.16

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Solution

The fourth proportional to 16,356.02, 24,529.14 and 5,824.16 is: 8,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.02 : 24,529.14 = 5,824.16 : x
  2. Step 2: Convert to fraction form
    16,356.02/24,529.14 = 5,824.16/x
  3. Step 3: Cross multiply
    16,356.02x = 24,529.14 × 5,824.16
  4. Step 4: Simplify right side
    16,356.02x = 142,861,636.02
  5. Step 5: Solve for x
    x = 142,861,636.02/16,356.02
  6. Step 6: Final answer
    x = 8,734.50

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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.