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Finding the Fourth Proportional to 22,038.15, 30,413.16 and 11,967

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Solution

The fourth proportional to 22,038.15, 30,413.16 and 11,967 is: 16,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.15 : 30,413.16 = 11,967 : x
  2. Step 2: Convert to fraction form
    22,038.15/30,413.16 = 11,967/x
  3. Step 3: Cross multiply
    22,038.15x = 30,413.16 × 11,967
  4. Step 4: Simplify right side
    22,038.15x = 363,954,285.72
  5. Step 5: Solve for x
    x = 363,954,285.72/22,038.15
  6. Step 6: Final answer
    x = 16,514.74

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1.5x scale

Why These Related Problems?

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