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Finding the Fourth Proportional to 25,413.60, 35,069.81 and 14,658.92

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Solution

The fourth proportional to 25,413.60, 35,069.81 and 14,658.92 is: 20,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,413.60 : 35,069.81 = 14,658.92 : x
  2. Step 2: Convert to fraction form
    25,413.60/35,069.81 = 14,658.92/x
  3. Step 3: Cross multiply
    25,413.60x = 35,069.81 × 14,658.92
  4. Step 4: Simplify right side
    25,413.60x = 514,085,539.21
  5. Step 5: Solve for x
    x = 514,085,539.21/25,413.60
  6. Step 6: Final answer
    x = 20,228.76

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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.