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Finding the Fourth Proportional to 23,893.58, 32,971.11 and 13,137.87

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Solution

The fourth proportional to 23,893.58, 32,971.11 and 13,137.87 is: 18,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.58 : 32,971.11 = 13,137.87 : x
  2. Step 2: Convert to fraction form
    23,893.58/32,971.11 = 13,137.87/x
  3. Step 3: Cross multiply
    23,893.58x = 32,971.11 × 13,137.87
  4. Step 4: Simplify right side
    23,893.58x = 433,170,156.94
  5. Step 5: Solve for x
    x = 433,170,156.94/23,893.58
  6. Step 6: Final answer
    x = 18,129.14

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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.