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Finding the Fourth Proportional to 23,031.64, 34,548.54 and 7,450.48

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Solution

The fourth proportional to 23,031.64, 34,548.54 and 7,450.48 is: 11,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.64 : 34,548.54 = 7,450.48 : x
  2. Step 2: Convert to fraction form
    23,031.64/34,548.54 = 7,450.48/x
  3. Step 3: Cross multiply
    23,031.64x = 34,548.54 × 7,450.48
  4. Step 4: Simplify right side
    23,031.64x = 257,403,206.30
  5. Step 5: Solve for x
    x = 257,403,206.30/23,031.64
  6. Step 6: Final answer
    x = 11,176.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.