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Finding the Fourth Proportional to 16,482.50, 24,716.37 and 9,822.14

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Solution

The fourth proportional to 16,482.50, 24,716.37 and 9,822.14 is: 14,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482.50 : 24,716.37 = 9,822.14 : x
  2. Step 2: Convert to fraction form
    16,482.50/24,716.37 = 9,822.14/x
  3. Step 3: Cross multiply
    16,482.50x = 24,716.37 × 9,822.14
  4. Step 4: Simplify right side
    16,482.50x = 242,767,708.52
  5. Step 5: Solve for x
    x = 242,767,708.52/16,482.50
  6. Step 6: Final answer
    x = 14,728.81

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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.