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Finding the Fourth Proportional to 23,738.00, 32,757.04 and 13,126.93

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Solution

The fourth proportional to 23,738.00, 32,757.04 and 13,126.93 is: 18,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,738.00 : 32,757.04 = 13,126.93 : x
  2. Step 2: Convert to fraction form
    23,738.00/32,757.04 = 13,126.93/x
  3. Step 3: Cross multiply
    23,738.00x = 32,757.04 × 13,126.93
  4. Step 4: Simplify right side
    23,738.00x = 429,999,305.60
  5. Step 5: Solve for x
    x = 429,999,305.60/23,738.00
  6. Step 6: Final answer
    x = 18,114.39

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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.