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Finding the Fourth Proportional to 16,218.64, 24,322 and 7,896.16

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Solution

The fourth proportional to 16,218.64, 24,322 and 7,896.16 is: 11,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.64 : 24,322 = 7,896.16 : x
  2. Step 2: Convert to fraction form
    16,218.64/24,322 = 7,896.16/x
  3. Step 3: Cross multiply
    16,218.64x = 24,322 × 7,896.16
  4. Step 4: Simplify right side
    16,218.64x = 192,050,403.52
  5. Step 5: Solve for x
    x = 192,050,403.52/16,218.64
  6. Step 6: Final answer
    x = 11,841.34

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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.