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Finding the Fourth Proportional to 15,396.54, 23,097 and 5,533.98

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Solution

The fourth proportional to 15,396.54, 23,097 and 5,533.98 is: 8,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,396.54 : 23,097 = 5,533.98 : x
  2. Step 2: Convert to fraction form
    15,396.54/23,097 = 5,533.98/x
  3. Step 3: Cross multiply
    15,396.54x = 23,097 × 5,533.98
  4. Step 4: Simplify right side
    15,396.54x = 127,818,336.06
  5. Step 5: Solve for x
    x = 127,818,336.06/15,396.54
  6. Step 6: Final answer
    x = 8,301.76

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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.