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Finding the Fourth Proportional to 23,657.34, 32,646.65 and 12,902.34

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Solution

The fourth proportional to 23,657.34, 32,646.65 and 12,902.34 is: 17,804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.34 : 32,646.65 = 12,902.34 : x
  2. Step 2: Convert to fraction form
    23,657.34/32,646.65 = 12,902.34/x
  3. Step 3: Cross multiply
    23,657.34x = 32,646.65 × 12,902.34
  4. Step 4: Simplify right side
    23,657.34x = 421,218,113.65
  5. Step 5: Solve for x
    x = 421,218,113.65/23,657.34
  6. Step 6: Final answer
    x = 17,804.97

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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.