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Finding the Fourth Proportional to 19,705.81, 27,193.18 and 11,206.74

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Solution

The fourth proportional to 19,705.81, 27,193.18 and 11,206.74 is: 15,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.81 : 27,193.18 = 11,206.74 : x
  2. Step 2: Convert to fraction form
    19,705.81/27,193.18 = 11,206.74/x
  3. Step 3: Cross multiply
    19,705.81x = 27,193.18 × 11,206.74
  4. Step 4: Simplify right side
    19,705.81x = 304,746,970.52
  5. Step 5: Solve for x
    x = 304,746,970.52/19,705.81
  6. Step 6: Final answer
    x = 15,464.83

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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.