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Finding the Fourth Proportional to 16,413.16, 22,669.02 and 11,956.84

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Solution

The fourth proportional to 16,413.16, 22,669.02 and 11,956.84 is: 16,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.16 : 22,669.02 = 11,956.84 : x
  2. Step 2: Convert to fraction form
    16,413.16/22,669.02 = 11,956.84/x
  3. Step 3: Cross multiply
    16,413.16x = 22,669.02 × 11,956.84
  4. Step 4: Simplify right side
    16,413.16x = 271,049,845.10
  5. Step 5: Solve for x
    x = 271,049,845.10/16,413.16
  6. Step 6: Final answer
    x = 16,514.18

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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.