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Finding the Fourth Proportional to 14,660.40, 21,965.40 and 6,853.20

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Solution

The fourth proportional to 14,660.40, 21,965.40 and 6,853.20 is: 10,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660.40 : 21,965.40 = 6,853.20 : x
  2. Step 2: Convert to fraction form
    14,660.40/21,965.40 = 6,853.20/x
  3. Step 3: Cross multiply
    14,660.40x = 21,965.40 × 6,853.20
  4. Step 4: Simplify right side
    14,660.40x = 150,533,279.28
  5. Step 5: Solve for x
    x = 150,533,279.28/14,660.40
  6. Step 6: Final answer
    x = 10,268.02

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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.