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Finding the Fourth Proportional to 23,254.60, 32,090.97 and 12,644.50

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Solution

The fourth proportional to 23,254.60, 32,090.97 and 12,644.50 is: 17,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254.60 : 32,090.97 = 12,644.50 : x
  2. Step 2: Convert to fraction form
    23,254.60/32,090.97 = 12,644.50/x
  3. Step 3: Cross multiply
    23,254.60x = 32,090.97 × 12,644.50
  4. Step 4: Simplify right side
    23,254.60x = 405,774,270.17
  5. Step 5: Solve for x
    x = 405,774,270.17/23,254.60
  6. Step 6: Final answer
    x = 17,449.20

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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.