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Finding the Fourth Proportional to 19,810.82, 29,679.78 and 12,413.90

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Solution

The fourth proportional to 19,810.82, 29,679.78 and 12,413.90 is: 18,598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.82 : 29,679.78 = 12,413.90 : x
  2. Step 2: Convert to fraction form
    19,810.82/29,679.78 = 12,413.90/x
  3. Step 3: Cross multiply
    19,810.82x = 29,679.78 × 12,413.90
  4. Step 4: Simplify right side
    19,810.82x = 368,441,820.94
  5. Step 5: Solve for x
    x = 368,441,820.94/19,810.82
  6. Step 6: Final answer
    x = 18,598.01

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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.