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Finding the Fourth Proportional to 12,682.80, 19,024.20 and 9,402.30

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Solution

The fourth proportional to 12,682.80, 19,024.20 and 9,402.30 is: 14,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.80 : 19,024.20 = 9,402.30 : x
  2. Step 2: Convert to fraction form
    12,682.80/19,024.20 = 9,402.30/x
  3. Step 3: Cross multiply
    12,682.80x = 19,024.20 × 9,402.30
  4. Step 4: Simplify right side
    12,682.80x = 178,871,235.66
  5. Step 5: Solve for x
    x = 178,871,235.66/12,682.80
  6. Step 6: Final answer
    x = 14,103.45

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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.