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Finding the Fourth Proportional to 23,657.39, 32,647.23 and 12,902.28

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Solution

The fourth proportional to 23,657.39, 32,647.23 and 12,902.28 is: 17,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.39 : 32,647.23 = 12,902.28 : x
  2. Step 2: Convert to fraction form
    23,657.39/32,647.23 = 12,902.28/x
  3. Step 3: Cross multiply
    23,657.39x = 32,647.23 × 12,902.28
  4. Step 4: Simplify right side
    23,657.39x = 421,223,763.90
  5. Step 5: Solve for x
    x = 421,223,763.90/23,657.39
  6. Step 6: Final answer
    x = 17,805.16

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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.