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Finding the Fourth Proportional to 23,567.31, 32,523.03 and 12,957.03

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Solution

The fourth proportional to 23,567.31, 32,523.03 and 12,957.03 is: 17,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.31 : 32,523.03 = 12,957.03 : x
  2. Step 2: Convert to fraction form
    23,567.31/32,523.03 = 12,957.03/x
  3. Step 3: Cross multiply
    23,567.31x = 32,523.03 × 12,957.03
  4. Step 4: Simplify right side
    23,567.31x = 421,401,875.40
  5. Step 5: Solve for x
    x = 421,401,875.40/23,567.31
  6. Step 6: Final answer
    x = 17,880.78

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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.