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Finding the Fourth Proportional to 14,460.38, 19,924.26 and 9,736.46

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Solution

The fourth proportional to 14,460.38, 19,924.26 and 9,736.46 is: 13,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.38 : 19,924.26 = 9,736.46 : x
  2. Step 2: Convert to fraction form
    14,460.38/19,924.26 = 9,736.46/x
  3. Step 3: Cross multiply
    14,460.38x = 19,924.26 × 9,736.46
  4. Step 4: Simplify right side
    14,460.38x = 193,991,760.52
  5. Step 5: Solve for x
    x = 193,991,760.52/14,460.38
  6. Step 6: Final answer
    x = 13,415.40

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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.