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Finding the Fourth Proportional to 16,384.68, 24,577.22 and 4,698

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Solution

The fourth proportional to 16,384.68, 24,577.22 and 4,698 is: 7,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.68 : 24,577.22 = 4,698 : x
  2. Step 2: Convert to fraction form
    16,384.68/24,577.22 = 4,698/x
  3. Step 3: Cross multiply
    16,384.68x = 24,577.22 × 4,698
  4. Step 4: Simplify right side
    16,384.68x = 115,463,791.31
  5. Step 5: Solve for x
    x = 115,463,791.31/16,384.68
  6. Step 6: Final answer
    x = 7,047.06

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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.