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Finding the Fourth Proportional to 23,654, 35,481 and 13,266.56

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Solution

The fourth proportional to 23,654, 35,481 and 13,266.56 is: 19,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654 : 35,481 = 13,266.56 : x
  2. Step 2: Convert to fraction form
    23,654/35,481 = 13,266.56/x
  3. Step 3: Cross multiply
    23,654x = 35,481 × 13,266.56
  4. Step 4: Simplify right side
    23,654x = 470,710,815.36
  5. Step 5: Solve for x
    x = 470,710,815.36/23,654
  6. Step 6: Final answer
    x = 19,899.84

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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.