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Finding the Fourth Proportional to 27,405.36, 37,782.72 and 21,413.52

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Solution

The fourth proportional to 27,405.36, 37,782.72 and 21,413.52 is: 29,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.36 : 37,782.72 = 21,413.52 : x
  2. Step 2: Convert to fraction form
    27,405.36/37,782.72 = 21,413.52/x
  3. Step 3: Cross multiply
    27,405.36x = 37,782.72 × 21,413.52
  4. Step 4: Simplify right side
    27,405.36x = 809,061,030.37
  5. Step 5: Solve for x
    x = 809,061,030.37/27,405.36
  6. Step 6: Final answer
    x = 29,522.00

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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.