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Finding the Fourth Proportional to 19,138.86, 26,413.02 and 10,642.50

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Solution

The fourth proportional to 19,138.86, 26,413.02 and 10,642.50 is: 14,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.86 : 26,413.02 = 10,642.50 : x
  2. Step 2: Convert to fraction form
    19,138.86/26,413.02 = 10,642.50/x
  3. Step 3: Cross multiply
    19,138.86x = 26,413.02 × 10,642.50
  4. Step 4: Simplify right side
    19,138.86x = 281,100,565.35
  5. Step 5: Solve for x
    x = 281,100,565.35/19,138.86
  6. Step 6: Final answer
    x = 14,687.42

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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.