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Finding the Fourth Proportional to 12,384.85, 18,577.05 and 4,989.12

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Solution

The fourth proportional to 12,384.85, 18,577.05 and 4,989.12 is: 7,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.85 : 18,577.05 = 4,989.12 : x
  2. Step 2: Convert to fraction form
    12,384.85/18,577.05 = 4,989.12/x
  3. Step 3: Cross multiply
    12,384.85x = 18,577.05 × 4,989.12
  4. Step 4: Simplify right side
    12,384.85x = 92,683,131.70
  5. Step 5: Solve for x
    x = 92,683,131.70/12,384.85
  6. Step 6: Final answer
    x = 7,483.59

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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.