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Finding the Fourth Proportional to 23,628, 35,442 and 9,777.36

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Solution

The fourth proportional to 23,628, 35,442 and 9,777.36 is: 14,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,628 : 35,442 = 9,777.36 : x
  2. Step 2: Convert to fraction form
    23,628/35,442 = 9,777.36/x
  3. Step 3: Cross multiply
    23,628x = 35,442 × 9,777.36
  4. Step 4: Simplify right side
    23,628x = 346,529,193.12
  5. Step 5: Solve for x
    x = 346,529,193.12/23,628
  6. Step 6: Final answer
    x = 14,666.04

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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.