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Finding the Fourth Proportional to 13,000.23, 17,940.33 and 7,031.88

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Solution

The fourth proportional to 13,000.23, 17,940.33 and 7,031.88 is: 9,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.23 : 17,940.33 = 7,031.88 : x
  2. Step 2: Convert to fraction form
    13,000.23/17,940.33 = 7,031.88/x
  3. Step 3: Cross multiply
    13,000.23x = 17,940.33 × 7,031.88
  4. Step 4: Simplify right side
    13,000.23x = 126,154,247.72
  5. Step 5: Solve for x
    x = 126,154,247.72/13,000.23
  6. Step 6: Final answer
    x = 9,704.00

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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.