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Finding the Fourth Proportional to 14,456.64, 19,956 and 9,754.56

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Solution

The fourth proportional to 14,456.64, 19,956 and 9,754.56 is: 13,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.64 : 19,956 = 9,754.56 : x
  2. Step 2: Convert to fraction form
    14,456.64/19,956 = 9,754.56/x
  3. Step 3: Cross multiply
    14,456.64x = 19,956 × 9,754.56
  4. Step 4: Simplify right side
    14,456.64x = 194,661,999.36
  5. Step 5: Solve for x
    x = 194,661,999.36/14,456.64
  6. Step 6: Final answer
    x = 13,465.23

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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.