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Finding the Fourth Proportional to 23,026.72, 34,540 and 6,386.72

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Solution

The fourth proportional to 23,026.72, 34,540 and 6,386.72 is: 9,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,026.72 : 34,540 = 6,386.72 : x
  2. Step 2: Convert to fraction form
    23,026.72/34,540 = 6,386.72/x
  3. Step 3: Cross multiply
    23,026.72x = 34,540 × 6,386.72
  4. Step 4: Simplify right side
    23,026.72x = 220,597,308.80
  5. Step 5: Solve for x
    x = 220,597,308.80/23,026.72
  6. Step 6: Final answer
    x = 9,580.06

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Why These Related Problems?

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