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Finding the Fourth Proportional to 23,809.50, 35,719.14 and 9,958.50

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Solution

The fourth proportional to 23,809.50, 35,719.14 and 9,958.50 is: 14,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.50 : 35,719.14 = 9,958.50 : x
  2. Step 2: Convert to fraction form
    23,809.50/35,719.14 = 9,958.50/x
  3. Step 3: Cross multiply
    23,809.50x = 35,719.14 × 9,958.50
  4. Step 4: Simplify right side
    23,809.50x = 355,709,055.69
  5. Step 5: Solve for x
    x = 355,709,055.69/23,809.50
  6. Step 6: Final answer
    x = 14,939.80

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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.