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Finding the Fourth Proportional to 14,413.32, 19,890.39 and 7,789.32

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Solution

The fourth proportional to 14,413.32, 19,890.39 and 7,789.32 is: 10,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.32 : 19,890.39 = 7,789.32 : x
  2. Step 2: Convert to fraction form
    14,413.32/19,890.39 = 7,789.32/x
  3. Step 3: Cross multiply
    14,413.32x = 19,890.39 × 7,789.32
  4. Step 4: Simplify right side
    14,413.32x = 154,932,612.63
  5. Step 5: Solve for x
    x = 154,932,612.63/14,413.32
  6. Step 6: Final answer
    x = 10,749.27

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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.