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Finding the Fourth Proportional to 14,205.52, 21,317.46 and 6,413.92

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Solution

The fourth proportional to 14,205.52, 21,317.46 and 6,413.92 is: 9,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.52 : 21,317.46 = 6,413.92 : x
  2. Step 2: Convert to fraction form
    14,205.52/21,317.46 = 6,413.92/x
  3. Step 3: Cross multiply
    14,205.52x = 21,317.46 × 6,413.92
  4. Step 4: Simplify right side
    14,205.52x = 136,728,483.04
  5. Step 5: Solve for x
    x = 136,728,483.04/14,205.52
  6. Step 6: Final answer
    x = 9,625.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.