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Finding the Fourth Proportional to 17,047.07, 25,581.54 and 8,277.20

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Solution

The fourth proportional to 17,047.07, 25,581.54 and 8,277.20 is: 12,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047.07 : 25,581.54 = 8,277.20 : x
  2. Step 2: Convert to fraction form
    17,047.07/25,581.54 = 8,277.20/x
  3. Step 3: Cross multiply
    17,047.07x = 25,581.54 × 8,277.20
  4. Step 4: Simplify right side
    17,047.07x = 211,743,403.44
  5. Step 5: Solve for x
    x = 211,743,403.44/17,047.07
  6. Step 6: Final answer
    x = 12,421.11

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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.