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Finding the Fourth Proportional to 16,051.84, 24,077.79 and 8,659.78

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Solution

The fourth proportional to 16,051.84, 24,077.79 and 8,659.78 is: 12,989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051.84 : 24,077.79 = 8,659.78 : x
  2. Step 2: Convert to fraction form
    16,051.84/24,077.79 = 8,659.78/x
  3. Step 3: Cross multiply
    16,051.84x = 24,077.79 × 8,659.78
  4. Step 4: Simplify right side
    16,051.84x = 208,508,304.09
  5. Step 5: Solve for x
    x = 208,508,304.09/16,051.84
  6. Step 6: Final answer
    x = 12,989.68

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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.