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Finding the Fourth Proportional to 23,762.92, 32,800.13 and 13,698.09

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Solution

The fourth proportional to 23,762.92, 32,800.13 and 13,698.09 is: 18,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.92 : 32,800.13 = 13,698.09 : x
  2. Step 2: Convert to fraction form
    23,762.92/32,800.13 = 13,698.09/x
  3. Step 3: Cross multiply
    23,762.92x = 32,800.13 × 13,698.09
  4. Step 4: Simplify right side
    23,762.92x = 449,298,900.26
  5. Step 5: Solve for x
    x = 449,298,900.26/23,762.92
  6. Step 6: Final answer
    x = 18,907.56

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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.