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Finding the Fourth Proportional to 12,384.83, 18,577.03 and 4,989.10

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Solution

The fourth proportional to 12,384.83, 18,577.03 and 4,989.10 is: 7,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.83 : 18,577.03 = 4,989.10 : x
  2. Step 2: Convert to fraction form
    12,384.83/18,577.03 = 4,989.10/x
  3. Step 3: Cross multiply
    12,384.83x = 18,577.03 × 4,989.10
  4. Step 4: Simplify right side
    12,384.83x = 92,682,601.46
  5. Step 5: Solve for x
    x = 92,682,601.46/12,384.83
  6. Step 6: Final answer
    x = 7,483.56

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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.