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Finding the Fourth Proportional to 12,384.74, 18,577.09 and 4,385.43

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Solution

The fourth proportional to 12,384.74, 18,577.09 and 4,385.43 is: 6,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.74 : 18,577.09 = 4,385.43 : x
  2. Step 2: Convert to fraction form
    12,384.74/18,577.09 = 4,385.43/x
  3. Step 3: Cross multiply
    12,384.74x = 18,577.09 × 4,385.43
  4. Step 4: Simplify right side
    12,384.74x = 81,468,533.28
  5. Step 5: Solve for x
    x = 81,468,533.28/12,384.74
  6. Step 6: Final answer
    x = 6,578.14

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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.