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Finding the Fourth Proportional to 23,664.34, 32,657.14 and 13,053.75

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Solution

The fourth proportional to 23,664.34, 32,657.14 and 13,053.75 is: 18,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664.34 : 32,657.14 = 13,053.75 : x
  2. Step 2: Convert to fraction form
    23,664.34/32,657.14 = 13,053.75/x
  3. Step 3: Cross multiply
    23,664.34x = 32,657.14 × 13,053.75
  4. Step 4: Simplify right side
    23,664.34x = 426,298,141.28
  5. Step 5: Solve for x
    x = 426,298,141.28/23,664.34
  6. Step 6: Final answer
    x = 18,014.37

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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.