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Finding the Fourth Proportional to 23,487.31, 32,412.44 and 12,877.63

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Solution

The fourth proportional to 23,487.31, 32,412.44 and 12,877.63 is: 17,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487.31 : 32,412.44 = 12,877.63 : x
  2. Step 2: Convert to fraction form
    23,487.31/32,412.44 = 12,877.63/x
  3. Step 3: Cross multiply
    23,487.31x = 32,412.44 × 12,877.63
  4. Step 4: Simplify right side
    23,487.31x = 417,395,360.88
  5. Step 5: Solve for x
    x = 417,395,360.88/23,487.31
  6. Step 6: Final answer
    x = 17,771.10

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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.