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Finding the Fourth Proportional to 16,646.84, 24,957.95 and 7,871.50

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Solution

The fourth proportional to 16,646.84, 24,957.95 and 7,871.50 is: 11,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.84 : 24,957.95 = 7,871.50 : x
  2. Step 2: Convert to fraction form
    16,646.84/24,957.95 = 7,871.50/x
  3. Step 3: Cross multiply
    16,646.84x = 24,957.95 × 7,871.50
  4. Step 4: Simplify right side
    16,646.84x = 196,456,503.43
  5. Step 5: Solve for x
    x = 196,456,503.43/16,646.84
  6. Step 6: Final answer
    x = 11,801.43

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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.