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Finding the Fourth Proportional to 14,159, 19,539.96 and 7,871.84

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Solution

The fourth proportional to 14,159, 19,539.96 and 7,871.84 is: 10,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159 : 19,539.96 = 7,871.84 : x
  2. Step 2: Convert to fraction form
    14,159/19,539.96 = 7,871.84/x
  3. Step 3: Cross multiply
    14,159x = 19,539.96 × 7,871.84
  4. Step 4: Simplify right side
    14,159x = 153,815,438.73
  5. Step 5: Solve for x
    x = 153,815,438.73/14,159
  6. Step 6: Final answer
    x = 10,863.44

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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.