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Finding the Fourth Proportional to 14,413.17, 19,892.10 and 8,447.21

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Solution

The fourth proportional to 14,413.17, 19,892.10 and 8,447.21 is: 11,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.17 : 19,892.10 = 8,447.21 : x
  2. Step 2: Convert to fraction form
    14,413.17/19,892.10 = 8,447.21/x
  3. Step 3: Cross multiply
    14,413.17x = 19,892.10 × 8,447.21
  4. Step 4: Simplify right side
    14,413.17x = 168,032,646.58
  5. Step 5: Solve for x
    x = 168,032,646.58/14,413.17
  6. Step 6: Final answer
    x = 11,658.27

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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.