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Finding the Fourth Proportional to 13,277.36, 19,905.06 and 7,353.98

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Solution

The fourth proportional to 13,277.36, 19,905.06 and 7,353.98 is: 11,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.36 : 19,905.06 = 7,353.98 : x
  2. Step 2: Convert to fraction form
    13,277.36/19,905.06 = 7,353.98/x
  3. Step 3: Cross multiply
    13,277.36x = 19,905.06 × 7,353.98
  4. Step 4: Simplify right side
    13,277.36x = 146,381,413.14
  5. Step 5: Solve for x
    x = 146,381,413.14/13,277.36
  6. Step 6: Final answer
    x = 11,024.89

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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.