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Finding the Fourth Proportional to 16,643.50, 22,968.03 and 9,191.98

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Solution

The fourth proportional to 16,643.50, 22,968.03 and 9,191.98 is: 12,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.50 : 22,968.03 = 9,191.98 : x
  2. Step 2: Convert to fraction form
    16,643.50/22,968.03 = 9,191.98/x
  3. Step 3: Cross multiply
    16,643.50x = 22,968.03 × 9,191.98
  4. Step 4: Simplify right side
    16,643.50x = 211,121,672.40
  5. Step 5: Solve for x
    x = 211,121,672.40/16,643.50
  6. Step 6: Final answer
    x = 12,684.93

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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.