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Finding the Fourth Proportional to 30,186.90, 45,283.14 and 12,413.43

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Solution

The fourth proportional to 30,186.90, 45,283.14 and 12,413.43 is: 18,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186.90 : 45,283.14 = 12,413.43 : x
  2. Step 2: Convert to fraction form
    30,186.90/45,283.14 = 12,413.43/x
  3. Step 3: Cross multiply
    30,186.90x = 45,283.14 × 12,413.43
  4. Step 4: Simplify right side
    30,186.90x = 562,119,088.57
  5. Step 5: Solve for x
    x = 562,119,088.57/30,186.90
  6. Step 6: Final answer
    x = 18,621.29

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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.