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Finding the Fourth Proportional to 15,413.40, 23,114.70 and 8,015.40

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Solution

The fourth proportional to 15,413.40, 23,114.70 and 8,015.40 is: 12,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.40 : 23,114.70 = 8,015.40 : x
  2. Step 2: Convert to fraction form
    15,413.40/23,114.70 = 8,015.40/x
  3. Step 3: Cross multiply
    15,413.40x = 23,114.70 × 8,015.40
  4. Step 4: Simplify right side
    15,413.40x = 185,273,566.38
  5. Step 5: Solve for x
    x = 185,273,566.38/15,413.40
  6. Step 6: Final answer
    x = 12,020.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.