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Finding the Fourth Proportional to 16,871.64, 25,309.88 and 5,185.84

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Solution

The fourth proportional to 16,871.64, 25,309.88 and 5,185.84 is: 7,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.64 : 25,309.88 = 5,185.84 : x
  2. Step 2: Convert to fraction form
    16,871.64/25,309.88 = 5,185.84/x
  3. Step 3: Cross multiply
    16,871.64x = 25,309.88 × 5,185.84
  4. Step 4: Simplify right side
    16,871.64x = 131,252,988.10
  5. Step 5: Solve for x
    x = 131,252,988.10/16,871.64
  6. Step 6: Final answer
    x = 7,779.50

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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.