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Finding the Fourth Proportional to 15,807.96, 23,660.46 and 11,646.30

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Solution

The fourth proportional to 15,807.96, 23,660.46 and 11,646.30 is: 17,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.96 : 23,660.46 = 11,646.30 : x
  2. Step 2: Convert to fraction form
    15,807.96/23,660.46 = 11,646.30/x
  3. Step 3: Cross multiply
    15,807.96x = 23,660.46 × 11,646.30
  4. Step 4: Simplify right side
    15,807.96x = 275,556,815.30
  5. Step 5: Solve for x
    x = 275,556,815.30/15,807.96
  6. Step 6: Final answer
    x = 17,431.52

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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.