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Finding the Fourth Proportional to 16,356.57, 24,529.32 and 11,428.53

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Solution

The fourth proportional to 16,356.57, 24,529.32 and 11,428.53 is: 17,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.57 : 24,529.32 = 11,428.53 : x
  2. Step 2: Convert to fraction form
    16,356.57/24,529.32 = 11,428.53/x
  3. Step 3: Cross multiply
    16,356.57x = 24,529.32 × 11,428.53
  4. Step 4: Simplify right side
    16,356.57x = 280,334,069.50
  5. Step 5: Solve for x
    x = 280,334,069.50/16,356.57
  6. Step 6: Final answer
    x = 17,138.93

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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.