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Finding the Fourth Proportional to 23,664.69, 32,657.30 and 13,054.30

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Solution

The fourth proportional to 23,664.69, 32,657.30 and 13,054.30 is: 18,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664.69 : 32,657.30 = 13,054.30 : x
  2. Step 2: Convert to fraction form
    23,664.69/32,657.30 = 13,054.30/x
  3. Step 3: Cross multiply
    23,664.69x = 32,657.30 × 13,054.30
  4. Step 4: Simplify right side
    23,664.69x = 426,318,191.39
  5. Step 5: Solve for x
    x = 426,318,191.39/23,664.69
  6. Step 6: Final answer
    x = 18,014.95

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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.