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Finding the Fourth Proportional to 22,303.86, 33,412.68 and 12,413.22

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Solution

The fourth proportional to 22,303.86, 33,412.68 and 12,413.22 is: 18,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303.86 : 33,412.68 = 12,413.22 : x
  2. Step 2: Convert to fraction form
    22,303.86/33,412.68 = 12,413.22/x
  3. Step 3: Cross multiply
    22,303.86x = 33,412.68 × 12,413.22
  4. Step 4: Simplify right side
    22,303.86x = 414,758,947.63
  5. Step 5: Solve for x
    x = 414,758,947.63/22,303.86
  6. Step 6: Final answer
    x = 18,595.84

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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.