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Finding the Fourth Proportional to 12,300.84, 18,454.14 and 3,980.52

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Solution

The fourth proportional to 12,300.84, 18,454.14 and 3,980.52 is: 5,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.84 : 18,454.14 = 3,980.52 : x
  2. Step 2: Convert to fraction form
    12,300.84/18,454.14 = 3,980.52/x
  3. Step 3: Cross multiply
    12,300.84x = 18,454.14 × 3,980.52
  4. Step 4: Simplify right side
    12,300.84x = 73,457,073.35
  5. Step 5: Solve for x
    x = 73,457,073.35/12,300.84
  6. Step 6: Final answer
    x = 5,971.71

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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.