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Finding the Fourth Proportional to 23,266.56, 32,109.84 and 13,840.32

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Solution

The fourth proportional to 23,266.56, 32,109.84 and 13,840.32 is: 19,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,266.56 : 32,109.84 = 13,840.32 : x
  2. Step 2: Convert to fraction form
    23,266.56/32,109.84 = 13,840.32/x
  3. Step 3: Cross multiply
    23,266.56x = 32,109.84 × 13,840.32
  4. Step 4: Simplify right side
    23,266.56x = 444,410,460.75
  5. Step 5: Solve for x
    x = 444,410,460.75/23,266.56
  6. Step 6: Final answer
    x = 19,100.82

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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.