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Finding the Fourth Proportional to 16,807.98, 23,194.09 and 9,254.01

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Solution

The fourth proportional to 16,807.98, 23,194.09 and 9,254.01 is: 12,770.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,807.98 : 23,194.09 = 9,254.01 : x
  2. Step 2: Convert to fraction form
    16,807.98/23,194.09 = 9,254.01/x
  3. Step 3: Cross multiply
    16,807.98x = 23,194.09 × 9,254.01
  4. Step 4: Simplify right side
    16,807.98x = 214,638,340.80
  5. Step 5: Solve for x
    x = 214,638,340.80/16,807.98
  6. Step 6: Final answer
    x = 12,770.03

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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.