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Finding the Fourth Proportional to 15,802.48, 23,718.06 and 8,413.16

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Solution

The fourth proportional to 15,802.48, 23,718.06 and 8,413.16 is: 12,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.48 : 23,718.06 = 8,413.16 : x
  2. Step 2: Convert to fraction form
    15,802.48/23,718.06 = 8,413.16/x
  3. Step 3: Cross multiply
    15,802.48x = 23,718.06 × 8,413.16
  4. Step 4: Simplify right side
    15,802.48x = 199,543,833.67
  5. Step 5: Solve for x
    x = 199,543,833.67/15,802.48
  6. Step 6: Final answer
    x = 12,627.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.