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Finding the Fourth Proportional to 12,384.93, 18,578.34 and 4,989.45

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Solution

The fourth proportional to 12,384.93, 18,578.34 and 4,989.45 is: 7,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.93 : 18,578.34 = 4,989.45 : x
  2. Step 2: Convert to fraction form
    12,384.93/18,578.34 = 4,989.45/x
  3. Step 3: Cross multiply
    12,384.93x = 18,578.34 × 4,989.45
  4. Step 4: Simplify right side
    12,384.93x = 92,695,698.51
  5. Step 5: Solve for x
    x = 92,695,698.51/12,384.93
  6. Step 6: Final answer
    x = 7,484.56

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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.