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Finding the Fourth Proportional to 23,483.08, 35,228.58 and 7,897

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Solution

The fourth proportional to 23,483.08, 35,228.58 and 7,897 is: 11,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,483.08 : 35,228.58 = 7,897 : x
  2. Step 2: Convert to fraction form
    23,483.08/35,228.58 = 7,897/x
  3. Step 3: Cross multiply
    23,483.08x = 35,228.58 × 7,897
  4. Step 4: Simplify right side
    23,483.08x = 278,200,096.26
  5. Step 5: Solve for x
    x = 278,200,096.26/23,483.08
  6. Step 6: Final answer
    x = 11,846.83

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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.