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Finding the Fourth Proportional to 23,384.38, 32,260.24 and 15,828

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Solution

The fourth proportional to 23,384.38, 32,260.24 and 15,828 is: 21,835.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.38 : 32,260.24 = 15,828 : x
  2. Step 2: Convert to fraction form
    23,384.38/32,260.24 = 15,828/x
  3. Step 3: Cross multiply
    23,384.38x = 32,260.24 × 15,828
  4. Step 4: Simplify right side
    23,384.38x = 510,615,078.72
  5. Step 5: Solve for x
    x = 510,615,078.72/23,384.38
  6. Step 6: Final answer
    x = 21,835.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.