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Finding the Fourth Proportional to 13,413.39, 18,509.32 and 7,445.15

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Solution

The fourth proportional to 13,413.39, 18,509.32 and 7,445.15 is: 10,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.39 : 18,509.32 = 7,445.15 : x
  2. Step 2: Convert to fraction form
    13,413.39/18,509.32 = 7,445.15/x
  3. Step 3: Cross multiply
    13,413.39x = 18,509.32 × 7,445.15
  4. Step 4: Simplify right side
    13,413.39x = 137,804,663.80
  5. Step 5: Solve for x
    x = 137,804,663.80/13,413.39
  6. Step 6: Final answer
    x = 10,273.66

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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.