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Finding the Fourth Proportional to 15,457.37, 23,169.86 and 7,142.84

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Solution

The fourth proportional to 15,457.37, 23,169.86 and 7,142.84 is: 10,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,457.37 : 23,169.86 = 7,142.84 : x
  2. Step 2: Convert to fraction form
    15,457.37/23,169.86 = 7,142.84/x
  3. Step 3: Cross multiply
    15,457.37x = 23,169.86 × 7,142.84
  4. Step 4: Simplify right side
    15,457.37x = 165,498,602.80
  5. Step 5: Solve for x
    x = 165,498,602.80/15,457.37
  6. Step 6: Final answer
    x = 10,706.78

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