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Finding the Fourth Proportional to 12,812.93, 19,213.61 and 5,413.58

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Solution

The fourth proportional to 12,812.93, 19,213.61 and 5,413.58 is: 8,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.93 : 19,213.61 = 5,413.58 : x
  2. Step 2: Convert to fraction form
    12,812.93/19,213.61 = 5,413.58/x
  3. Step 3: Cross multiply
    12,812.93x = 19,213.61 × 5,413.58
  4. Step 4: Simplify right side
    12,812.93x = 104,014,332.29
  5. Step 5: Solve for x
    x = 104,014,332.29/12,812.93
  6. Step 6: Final answer
    x = 8,117.92

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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.