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Finding the Fourth Proportional to 12,921.96, 17,827.64 and 7,329.72

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Solution

The fourth proportional to 12,921.96, 17,827.64 and 7,329.72 is: 10,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.96 : 17,827.64 = 7,329.72 : x
  2. Step 2: Convert to fraction form
    12,921.96/17,827.64 = 7,329.72/x
  3. Step 3: Cross multiply
    12,921.96x = 17,827.64 × 7,329.72
  4. Step 4: Simplify right side
    12,921.96x = 130,671,708.38
  5. Step 5: Solve for x
    x = 130,671,708.38/12,921.96
  6. Step 6: Final answer
    x = 10,112.37

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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.