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Finding the Fourth Proportional to 22,483.19, 31,028.52 and 12,413.57

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Solution

The fourth proportional to 22,483.19, 31,028.52 and 12,413.57 is: 17,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483.19 : 31,028.52 = 12,413.57 : x
  2. Step 2: Convert to fraction form
    22,483.19/31,028.52 = 12,413.57/x
  3. Step 3: Cross multiply
    22,483.19x = 31,028.52 × 12,413.57
  4. Step 4: Simplify right side
    22,483.19x = 385,174,705.02
  5. Step 5: Solve for x
    x = 385,174,705.02/22,483.19
  6. Step 6: Final answer
    x = 17,131.68

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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.