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Finding the Fourth Proportional to 25,413.84, 35,072.32 and 15,342.08

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Solution

The fourth proportional to 25,413.84, 35,072.32 and 15,342.08 is: 21,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,413.84 : 35,072.32 = 15,342.08 : x
  2. Step 2: Convert to fraction form
    25,413.84/35,072.32 = 15,342.08/x
  3. Step 3: Cross multiply
    25,413.84x = 35,072.32 × 15,342.08
  4. Step 4: Simplify right side
    25,413.84x = 538,082,339.23
  5. Step 5: Solve for x
    x = 538,082,339.23/25,413.84
  6. Step 6: Final answer
    x = 21,172.81

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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.