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Finding the Fourth Proportional to 23,710.65, 35,568 and 6,180.45

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Solution

The fourth proportional to 23,710.65, 35,568 and 6,180.45 is: 9,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.65 : 35,568 = 6,180.45 : x
  2. Step 2: Convert to fraction form
    23,710.65/35,568 = 6,180.45/x
  3. Step 3: Cross multiply
    23,710.65x = 35,568 × 6,180.45
  4. Step 4: Simplify right side
    23,710.65x = 219,826,245.60
  5. Step 5: Solve for x
    x = 219,826,245.60/23,710.65
  6. Step 6: Final answer
    x = 9,271.20

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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.