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Finding the Fourth Proportional to 30,413.20, 45,624.14 and 9,355

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Solution

The fourth proportional to 30,413.20, 45,624.14 and 9,355 is: 14,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.20 : 45,624.14 = 9,355 : x
  2. Step 2: Convert to fraction form
    30,413.20/45,624.14 = 9,355/x
  3. Step 3: Cross multiply
    30,413.20x = 45,624.14 × 9,355
  4. Step 4: Simplify right side
    30,413.20x = 426,813,829.70
  5. Step 5: Solve for x
    x = 426,813,829.70/30,413.20
  6. Step 6: Final answer
    x = 14,033.83

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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.