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Finding the Fourth Proportional to 23,985.82, 35,978.83 and 7,345.79

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Solution

The fourth proportional to 23,985.82, 35,978.83 and 7,345.79 is: 11,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,985.82 : 35,978.83 = 7,345.79 : x
  2. Step 2: Convert to fraction form
    23,985.82/35,978.83 = 7,345.79/x
  3. Step 3: Cross multiply
    23,985.82x = 35,978.83 × 7,345.79
  4. Step 4: Simplify right side
    23,985.82x = 264,292,866.29
  5. Step 5: Solve for x
    x = 264,292,866.29/23,985.82
  6. Step 6: Final answer
    x = 11,018.71

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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.