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Finding the Fourth Proportional to 19,851.32, 27,407.64 and 12,305.68

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Solution

The fourth proportional to 19,851.32, 27,407.64 and 12,305.68 is: 16,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.32 : 27,407.64 = 12,305.68 : x
  2. Step 2: Convert to fraction form
    19,851.32/27,407.64 = 12,305.68/x
  3. Step 3: Cross multiply
    19,851.32x = 27,407.64 × 12,305.68
  4. Step 4: Simplify right side
    19,851.32x = 337,269,510.36
  5. Step 5: Solve for x
    x = 337,269,510.36/19,851.32
  6. Step 6: Final answer
    x = 16,989.78

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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.