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Finding the Fourth Proportional to 15,494.25, 23,245.02 and 5,106

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Solution

The fourth proportional to 15,494.25, 23,245.02 and 5,106 is: 7,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.25 : 23,245.02 = 5,106 : x
  2. Step 2: Convert to fraction form
    15,494.25/23,245.02 = 5,106/x
  3. Step 3: Cross multiply
    15,494.25x = 23,245.02 × 5,106
  4. Step 4: Simplify right side
    15,494.25x = 118,689,072.12
  5. Step 5: Solve for x
    x = 118,689,072.12/15,494.25
  6. Step 6: Final answer
    x = 7,660.20

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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.