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Finding the Fourth Proportional to 14,417.64, 19,884.82 and 9,940.38

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Solution

The fourth proportional to 14,417.64, 19,884.82 and 9,940.38 is: 13,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.64 : 19,884.82 = 9,940.38 : x
  2. Step 2: Convert to fraction form
    14,417.64/19,884.82 = 9,940.38/x
  3. Step 3: Cross multiply
    14,417.64x = 19,884.82 × 9,940.38
  4. Step 4: Simplify right side
    14,417.64x = 197,662,667.03
  5. Step 5: Solve for x
    x = 197,662,667.03/14,417.64
  6. Step 6: Final answer
    x = 13,709.78

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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.