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Finding the Fourth Proportional to 27,413.39, 37,830.16 and 15,477.23

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Solution

The fourth proportional to 27,413.39, 37,830.16 and 15,477.23 is: 21,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.39 : 37,830.16 = 15,477.23 : x
  2. Step 2: Convert to fraction form
    27,413.39/37,830.16 = 15,477.23/x
  3. Step 3: Cross multiply
    27,413.39x = 37,830.16 × 15,477.23
  4. Step 4: Simplify right side
    27,413.39x = 585,505,901.32
  5. Step 5: Solve for x
    x = 585,505,901.32/27,413.39
  6. Step 6: Final answer
    x = 21,358.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.