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Finding the Fourth Proportional to 23,713.78, 35,563.03 and 13,188.82

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Solution

The fourth proportional to 23,713.78, 35,563.03 and 13,188.82 is: 19,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,713.78 : 35,563.03 = 13,188.82 : x
  2. Step 2: Convert to fraction form
    23,713.78/35,563.03 = 13,188.82/x
  3. Step 3: Cross multiply
    23,713.78x = 35,563.03 × 13,188.82
  4. Step 4: Simplify right side
    23,713.78x = 469,034,401.32
  5. Step 5: Solve for x
    x = 469,034,401.32/23,713.78
  6. Step 6: Final answer
    x = 19,778.98

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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.