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Finding the Fourth Proportional to 15,384, 23,076 and 4,996.48

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Solution

The fourth proportional to 15,384, 23,076 and 4,996.48 is: 7,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384 : 23,076 = 4,996.48 : x
  2. Step 2: Convert to fraction form
    15,384/23,076 = 4,996.48/x
  3. Step 3: Cross multiply
    15,384x = 23,076 × 4,996.48
  4. Step 4: Simplify right side
    15,384x = 115,298,772.48
  5. Step 5: Solve for x
    x = 115,298,772.48/15,384
  6. Step 6: Final answer
    x = 7,494.72

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Why These Related Problems?

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