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Finding the Fourth Proportional to 23,241.09, 32,072.16 and 13,031.45

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Solution

The fourth proportional to 23,241.09, 32,072.16 and 13,031.45 is: 17,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.09 : 32,072.16 = 13,031.45 : x
  2. Step 2: Convert to fraction form
    23,241.09/32,072.16 = 13,031.45/x
  3. Step 3: Cross multiply
    23,241.09x = 32,072.16 × 13,031.45
  4. Step 4: Simplify right side
    23,241.09x = 417,946,589.07
  5. Step 5: Solve for x
    x = 417,946,589.07/23,241.09
  6. Step 6: Final answer
    x = 17,983.09

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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.