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Finding the Fourth Proportional to 15,413.65, 21,270.87 and 8,340.07

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Solution

The fourth proportional to 15,413.65, 21,270.87 and 8,340.07 is: 11,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.65 : 21,270.87 = 8,340.07 : x
  2. Step 2: Convert to fraction form
    15,413.65/21,270.87 = 8,340.07/x
  3. Step 3: Cross multiply
    15,413.65x = 21,270.87 × 8,340.07
  4. Step 4: Simplify right side
    15,413.65x = 177,400,531.47
  5. Step 5: Solve for x
    x = 177,400,531.47/15,413.65
  6. Step 6: Final answer
    x = 11,509.32

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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.