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Finding the Fourth Proportional to 14,253.21, 19,669.28 and 7,965.58

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Solution

The fourth proportional to 14,253.21, 19,669.28 and 7,965.58 is: 10,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253.21 : 19,669.28 = 7,965.58 : x
  2. Step 2: Convert to fraction form
    14,253.21/19,669.28 = 7,965.58/x
  3. Step 3: Cross multiply
    14,253.21x = 19,669.28 × 7,965.58
  4. Step 4: Simplify right side
    14,253.21x = 156,677,223.38
  5. Step 5: Solve for x
    x = 156,677,223.38/14,253.21
  6. Step 6: Final answer
    x = 10,992.42

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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.