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Finding the Fourth Proportional to 16,740.78, 23,103 and 10,027.50

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Solution

The fourth proportional to 16,740.78, 23,103 and 10,027.50 is: 13,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,740.78 : 23,103 = 10,027.50 : x
  2. Step 2: Convert to fraction form
    16,740.78/23,103 = 10,027.50/x
  3. Step 3: Cross multiply
    16,740.78x = 23,103 × 10,027.50
  4. Step 4: Simplify right side
    16,740.78x = 231,665,332.50
  5. Step 5: Solve for x
    x = 231,665,332.50/16,740.78
  6. Step 6: Final answer
    x = 13,838.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.