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Finding the Fourth Proportional to 19,774.19, 27,288.09 and 12,116.32

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Solution

The fourth proportional to 19,774.19, 27,288.09 and 12,116.32 is: 16,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.19 : 27,288.09 = 12,116.32 : x
  2. Step 2: Convert to fraction form
    19,774.19/27,288.09 = 12,116.32/x
  3. Step 3: Cross multiply
    19,774.19x = 27,288.09 × 12,116.32
  4. Step 4: Simplify right side
    19,774.19x = 330,631,162.41
  5. Step 5: Solve for x
    x = 330,631,162.41/19,774.19
  6. Step 6: Final answer
    x = 16,720.34

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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.