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Finding the Fourth Proportional to 19,809.96, 27,342.54 and 12,735.42

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Solution

The fourth proportional to 19,809.96, 27,342.54 and 12,735.42 is: 17,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.96 : 27,342.54 = 12,735.42 : x
  2. Step 2: Convert to fraction form
    19,809.96/27,342.54 = 12,735.42/x
  3. Step 3: Cross multiply
    19,809.96x = 27,342.54 × 12,735.42
  4. Step 4: Simplify right side
    19,809.96x = 348,218,730.77
  5. Step 5: Solve for x
    x = 348,218,730.77/19,809.96
  6. Step 6: Final answer
    x = 17,577.96

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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.