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Finding the Fourth Proportional to 12,289.20, 16,958.48 and 7,256.40

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Solution

The fourth proportional to 12,289.20, 16,958.48 and 7,256.40 is: 10,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.20 : 16,958.48 = 7,256.40 : x
  2. Step 2: Convert to fraction form
    12,289.20/16,958.48 = 7,256.40/x
  3. Step 3: Cross multiply
    12,289.20x = 16,958.48 × 7,256.40
  4. Step 4: Simplify right side
    12,289.20x = 123,057,514.27
  5. Step 5: Solve for x
    x = 123,057,514.27/12,289.20
  6. Step 6: Final answer
    x = 10,013.47

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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.