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Finding the Fourth Proportional to 12,966.68, 19,413.30 and 10,078.76

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Solution

The fourth proportional to 12,966.68, 19,413.30 and 10,078.76 is: 15,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.68 : 19,413.30 = 10,078.76 : x
  2. Step 2: Convert to fraction form
    12,966.68/19,413.30 = 10,078.76/x
  3. Step 3: Cross multiply
    12,966.68x = 19,413.30 × 10,078.76
  4. Step 4: Simplify right side
    12,966.68x = 195,661,991.51
  5. Step 5: Solve for x
    x = 195,661,991.51/12,966.68
  6. Step 6: Final answer
    x = 15,089.60

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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.