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Finding the Fourth Proportional to 15,871.50, 23,805.98 and 7,965.94

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Solution

The fourth proportional to 15,871.50, 23,805.98 and 7,965.94 is: 11,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.50 : 23,805.98 = 7,965.94 : x
  2. Step 2: Convert to fraction form
    15,871.50/23,805.98 = 7,965.94/x
  3. Step 3: Cross multiply
    15,871.50x = 23,805.98 × 7,965.94
  4. Step 4: Simplify right side
    15,871.50x = 189,637,008.32
  5. Step 5: Solve for x
    x = 189,637,008.32/15,871.50
  6. Step 6: Final answer
    x = 11,948.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.