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Finding the Fourth Proportional to 15,770.09, 23,651.09 and 4,674.16

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Solution

The fourth proportional to 15,770.09, 23,651.09 and 4,674.16 is: 7,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.09 : 23,651.09 = 4,674.16 : x
  2. Step 2: Convert to fraction form
    15,770.09/23,651.09 = 4,674.16/x
  3. Step 3: Cross multiply
    15,770.09x = 23,651.09 × 4,674.16
  4. Step 4: Simplify right side
    15,770.09x = 110,548,869.52
  5. Step 5: Solve for x
    x = 110,548,869.52/15,770.09
  6. Step 6: Final answer
    x = 7,010.03

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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.