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Finding the Fourth Proportional to 13,239.96, 19,848.42 and 7,405.08

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Solution

The fourth proportional to 13,239.96, 19,848.42 and 7,405.08 is: 11,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,239.96 : 19,848.42 = 7,405.08 : x
  2. Step 2: Convert to fraction form
    13,239.96/19,848.42 = 7,405.08/x
  3. Step 3: Cross multiply
    13,239.96x = 19,848.42 × 7,405.08
  4. Step 4: Simplify right side
    13,239.96x = 146,979,137.97
  5. Step 5: Solve for x
    x = 146,979,137.97/13,239.96
  6. Step 6: Final answer
    x = 11,101.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.