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Finding the Fourth Proportional to 14,413.86, 19,885.74 and 9,690.66

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Solution

The fourth proportional to 14,413.86, 19,885.74 and 9,690.66 is: 13,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.86 : 19,885.74 = 9,690.66 : x
  2. Step 2: Convert to fraction form
    14,413.86/19,885.74 = 9,690.66/x
  3. Step 3: Cross multiply
    14,413.86x = 19,885.74 × 9,690.66
  4. Step 4: Simplify right side
    14,413.86x = 192,705,945.19
  5. Step 5: Solve for x
    x = 192,705,945.19/14,413.86
  6. Step 6: Final answer
    x = 13,369.49

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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.