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Finding the Fourth Proportional to 23,657.63, 32,647.56 and 12,902.52

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Solution

The fourth proportional to 23,657.63, 32,647.56 and 12,902.52 is: 17,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.63 : 32,647.56 = 12,902.52 : x
  2. Step 2: Convert to fraction form
    23,657.63/32,647.56 = 12,902.52/x
  3. Step 3: Cross multiply
    23,657.63x = 32,647.56 × 12,902.52
  4. Step 4: Simplify right side
    23,657.63x = 421,235,649.72
  5. Step 5: Solve for x
    x = 421,235,649.72/23,657.63
  6. Step 6: Final answer
    x = 17,805.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.