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Finding the Fourth Proportional to 16,962.80, 23,407.16 and 9,408.98

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Solution

The fourth proportional to 16,962.80, 23,407.16 and 9,408.98 is: 12,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962.80 : 23,407.16 = 9,408.98 : x
  2. Step 2: Convert to fraction form
    16,962.80/23,407.16 = 9,408.98/x
  3. Step 3: Cross multiply
    16,962.80x = 23,407.16 × 9,408.98
  4. Step 4: Simplify right side
    16,962.80x = 220,237,336.22
  5. Step 5: Solve for x
    x = 220,237,336.22/16,962.80
  6. Step 6: Final answer
    x = 12,983.55

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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.