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Finding the Fourth Proportional to 22,971.89, 31,703.25 and 13,538.63

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Solution

The fourth proportional to 22,971.89, 31,703.25 and 13,538.63 is: 18,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.89 : 31,703.25 = 13,538.63 : x
  2. Step 2: Convert to fraction form
    22,971.89/31,703.25 = 13,538.63/x
  3. Step 3: Cross multiply
    22,971.89x = 31,703.25 × 13,538.63
  4. Step 4: Simplify right side
    22,971.89x = 429,218,413.03
  5. Step 5: Solve for x
    x = 429,218,413.03/22,971.89
  6. Step 6: Final answer
    x = 18,684.51

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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.