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Finding the Fourth Proportional to 16,427.84, 22,670.34 and 8,975.84

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Solution

The fourth proportional to 16,427.84, 22,670.34 and 8,975.84 is: 12,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.84 : 22,670.34 = 8,975.84 : x
  2. Step 2: Convert to fraction form
    16,427.84/22,670.34 = 8,975.84/x
  3. Step 3: Cross multiply
    16,427.84x = 22,670.34 × 8,975.84
  4. Step 4: Simplify right side
    16,427.84x = 203,485,344.59
  5. Step 5: Solve for x
    x = 203,485,344.59/16,427.84
  6. Step 6: Final answer
    x = 12,386.62

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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.