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Finding the Fourth Proportional to 23,413.68, 35,127 and 13,032.72

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Solution

The fourth proportional to 23,413.68, 35,127 and 13,032.72 is: 19,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.68 : 35,127 = 13,032.72 : x
  2. Step 2: Convert to fraction form
    23,413.68/35,127 = 13,032.72/x
  3. Step 3: Cross multiply
    23,413.68x = 35,127 × 13,032.72
  4. Step 4: Simplify right side
    23,413.68x = 457,800,355.44
  5. Step 5: Solve for x
    x = 457,800,355.44/23,413.68
  6. Step 6: Final answer
    x = 19,552.69

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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.