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Finding the Fourth Proportional to 16,871.21, 25,308.03 and 6,482.96

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Solution

The fourth proportional to 16,871.21, 25,308.03 and 6,482.96 is: 9,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.21 : 25,308.03 = 6,482.96 : x
  2. Step 2: Convert to fraction form
    16,871.21/25,308.03 = 6,482.96/x
  3. Step 3: Cross multiply
    16,871.21x = 25,308.03 × 6,482.96
  4. Step 4: Simplify right side
    16,871.21x = 164,070,946.17
  5. Step 5: Solve for x
    x = 164,070,946.17/16,871.21
  6. Step 6: Final answer
    x = 9,724.91

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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.