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Finding the Fourth Proportional to 12,224.09, 16,869.48 and 7,977.87

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Solution

The fourth proportional to 12,224.09, 16,869.48 and 7,977.87 is: 11,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.09 : 16,869.48 = 7,977.87 : x
  2. Step 2: Convert to fraction form
    12,224.09/16,869.48 = 7,977.87/x
  3. Step 3: Cross multiply
    12,224.09x = 16,869.48 × 7,977.87
  4. Step 4: Simplify right side
    12,224.09x = 134,582,518.41
  5. Step 5: Solve for x
    x = 134,582,518.41/12,224.09
  6. Step 6: Final answer
    x = 11,009.62

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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.