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Finding the Fourth Proportional to 22,485.21, 31,029.70 and 12,413.47

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Solution

The fourth proportional to 22,485.21, 31,029.70 and 12,413.47 is: 17,130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,485.21 : 31,029.70 = 12,413.47 : x
  2. Step 2: Convert to fraction form
    22,485.21/31,029.70 = 12,413.47/x
  3. Step 3: Cross multiply
    22,485.21x = 31,029.70 × 12,413.47
  4. Step 4: Simplify right side
    22,485.21x = 385,186,250.06
  5. Step 5: Solve for x
    x = 385,186,250.06/22,485.21
  6. Step 6: Final answer
    x = 17,130.65

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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.