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Finding the Fourth Proportional to 19,774.12, 27,259.90 and 14,099.02

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Solution

The fourth proportional to 19,774.12, 27,259.90 and 14,099.02 is: 19,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.12 : 27,259.90 = 14,099.02 : x
  2. Step 2: Convert to fraction form
    19,774.12/27,259.90 = 14,099.02/x
  3. Step 3: Cross multiply
    19,774.12x = 27,259.90 × 14,099.02
  4. Step 4: Simplify right side
    19,774.12x = 384,337,927.00
  5. Step 5: Solve for x
    x = 384,337,927.00/19,774.12
  6. Step 6: Final answer
    x = 19,436.41

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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.