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Finding the Fourth Proportional to 19,877.12, 27,427.20 and 11,492

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Solution

The fourth proportional to 19,877.12, 27,427.20 and 11,492 is: 15,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.12 : 27,427.20 = 11,492 : x
  2. Step 2: Convert to fraction form
    19,877.12/27,427.20 = 11,492/x
  3. Step 3: Cross multiply
    19,877.12x = 27,427.20 × 11,492
  4. Step 4: Simplify right side
    19,877.12x = 315,193,382.40
  5. Step 5: Solve for x
    x = 315,193,382.40/19,877.12
  6. Step 6: Final answer
    x = 15,857.10

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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.