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Finding the Fourth Proportional to 16,384.98, 24,577.45 and 4,698.19

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Solution

The fourth proportional to 16,384.98, 24,577.45 and 4,698.19 is: 7,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.98 : 24,577.45 = 4,698.19 : x
  2. Step 2: Convert to fraction form
    16,384.98/24,577.45 = 4,698.19/x
  3. Step 3: Cross multiply
    16,384.98x = 24,577.45 × 4,698.19
  4. Step 4: Simplify right side
    16,384.98x = 115,469,456.63
  5. Step 5: Solve for x
    x = 115,469,456.63/16,384.98
  6. Step 6: Final answer
    x = 7,047.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.