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Finding the Fourth Proportional to 23,031.50, 31,783.60 and 12,960.11

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Solution

The fourth proportional to 23,031.50, 31,783.60 and 12,960.11 is: 17,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.50 : 31,783.60 = 12,960.11 : x
  2. Step 2: Convert to fraction form
    23,031.50/31,783.60 = 12,960.11/x
  3. Step 3: Cross multiply
    23,031.50x = 31,783.60 × 12,960.11
  4. Step 4: Simplify right side
    23,031.50x = 411,918,793.28
  5. Step 5: Solve for x
    x = 411,918,793.28/23,031.50
  6. Step 6: Final answer
    x = 17,885.02

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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.