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Finding the Fourth Proportional to 16,065.42, 22,169.93 and 8,894.93

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Solution

The fourth proportional to 16,065.42, 22,169.93 and 8,894.93 is: 12,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065.42 : 22,169.93 = 8,894.93 : x
  2. Step 2: Convert to fraction form
    16,065.42/22,169.93 = 8,894.93/x
  3. Step 3: Cross multiply
    16,065.42x = 22,169.93 × 8,894.93
  4. Step 4: Simplify right side
    16,065.42x = 197,199,820.13
  5. Step 5: Solve for x
    x = 197,199,820.13/16,065.42
  6. Step 6: Final answer
    x = 12,274.80

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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.