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Finding the Fourth Proportional to 12,018.36, 16,580.22 and 6,980.96

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Solution

The fourth proportional to 12,018.36, 16,580.22 and 6,980.96 is: 9,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018.36 : 16,580.22 = 6,980.96 : x
  2. Step 2: Convert to fraction form
    12,018.36/16,580.22 = 6,980.96/x
  3. Step 3: Cross multiply
    12,018.36x = 16,580.22 × 6,980.96
  4. Step 4: Simplify right side
    12,018.36x = 115,745,852.61
  5. Step 5: Solve for x
    x = 115,745,852.61/12,018.36
  6. Step 6: Final answer
    x = 9,630.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.