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Finding the Fourth Proportional to 23,985.28, 35,978 and 7,345.24

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Solution

The fourth proportional to 23,985.28, 35,978 and 7,345.24 is: 11,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,985.28 : 35,978 = 7,345.24 : x
  2. Step 2: Convert to fraction form
    23,985.28/35,978 = 7,345.24/x
  3. Step 3: Cross multiply
    23,985.28x = 35,978 × 7,345.24
  4. Step 4: Simplify right side
    23,985.28x = 264,267,044.72
  5. Step 5: Solve for x
    x = 264,267,044.72/23,985.28
  6. Step 6: Final answer
    x = 11,017.88

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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.