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Finding the Fourth Proportional to 14,673.14, 20,248.82 and 7,958.75

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Solution

The fourth proportional to 14,673.14, 20,248.82 and 7,958.75 is: 10,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673.14 : 20,248.82 = 7,958.75 : x
  2. Step 2: Convert to fraction form
    14,673.14/20,248.82 = 7,958.75/x
  3. Step 3: Cross multiply
    14,673.14x = 20,248.82 × 7,958.75
  4. Step 4: Simplify right side
    14,673.14x = 161,155,256.38
  5. Step 5: Solve for x
    x = 161,155,256.38/14,673.14
  6. Step 6: Final answer
    x = 10,983.01

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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.