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Finding the Fourth Proportional to 13,410, 20,116.08 and 4,176

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Solution

The fourth proportional to 13,410, 20,116.08 and 4,176 is: 6,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410 : 20,116.08 = 4,176 : x
  2. Step 2: Convert to fraction form
    13,410/20,116.08 = 4,176/x
  3. Step 3: Cross multiply
    13,410x = 20,116.08 × 4,176
  4. Step 4: Simplify right side
    13,410x = 84,004,750.08
  5. Step 5: Solve for x
    x = 84,004,750.08/13,410
  6. Step 6: Final answer
    x = 6,264.34

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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.