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Finding the Fourth Proportional to 18,911.84, 26,098.10 and 10,413.78

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Solution

The fourth proportional to 18,911.84, 26,098.10 and 10,413.78 is: 14,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,911.84 : 26,098.10 = 10,413.78 : x
  2. Step 2: Convert to fraction form
    18,911.84/26,098.10 = 10,413.78/x
  3. Step 3: Cross multiply
    18,911.84x = 26,098.10 × 10,413.78
  4. Step 4: Simplify right side
    18,911.84x = 271,779,760.93
  5. Step 5: Solve for x
    x = 271,779,760.93/18,911.84
  6. Step 6: Final answer
    x = 14,370.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.