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Finding the Fourth Proportional to 23,009.60, 34,546.80 and 14,261.60

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Solution

The fourth proportional to 23,009.60, 34,546.80 and 14,261.60 is: 21,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.60 : 34,546.80 = 14,261.60 : x
  2. Step 2: Convert to fraction form
    23,009.60/34,546.80 = 14,261.60/x
  3. Step 3: Cross multiply
    23,009.60x = 34,546.80 × 14,261.60
  4. Step 4: Simplify right side
    23,009.60x = 492,692,642.88
  5. Step 5: Solve for x
    x = 492,692,642.88/23,009.60
  6. Step 6: Final answer
    x = 21,412.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.