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Finding the Fourth Proportional to 14,776.11, 20,413.26 and 9,683.71

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Solution

The fourth proportional to 14,776.11, 20,413.26 and 9,683.71 is: 13,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.11 : 20,413.26 = 9,683.71 : x
  2. Step 2: Convert to fraction form
    14,776.11/20,413.26 = 9,683.71/x
  3. Step 3: Cross multiply
    14,776.11x = 20,413.26 × 9,683.71
  4. Step 4: Simplify right side
    14,776.11x = 197,676,038.96
  5. Step 5: Solve for x
    x = 197,676,038.96/14,776.11
  6. Step 6: Final answer
    x = 13,378.08

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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.