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Finding the Fourth Proportional to 23,736.34, 35,538.90 and 17,875.18

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Solution

The fourth proportional to 23,736.34, 35,538.90 and 17,875.18 is: 26,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,736.34 : 35,538.90 = 17,875.18 : x
  2. Step 2: Convert to fraction form
    23,736.34/35,538.90 = 17,875.18/x
  3. Step 3: Cross multiply
    23,736.34x = 35,538.90 × 17,875.18
  4. Step 4: Simplify right side
    23,736.34x = 635,264,234.50
  5. Step 5: Solve for x
    x = 635,264,234.50/23,736.34
  6. Step 6: Final answer
    x = 26,763.36

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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.