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Finding the Fourth Proportional to 12,454.02, 18,681 and 5,786.87

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Solution

The fourth proportional to 12,454.02, 18,681 and 5,786.87 is: 8,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.02 : 18,681 = 5,786.87 : x
  2. Step 2: Convert to fraction form
    12,454.02/18,681 = 5,786.87/x
  3. Step 3: Cross multiply
    12,454.02x = 18,681 × 5,786.87
  4. Step 4: Simplify right side
    12,454.02x = 108,104,518.47
  5. Step 5: Solve for x
    x = 108,104,518.47/12,454.02
  6. Step 6: Final answer
    x = 8,680.29

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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.