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Finding the Fourth Proportional to 14,659.16, 21,952.28 and 10,256

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Solution

The fourth proportional to 14,659.16, 21,952.28 and 10,256 is: 15,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.16 : 21,952.28 = 10,256 : x
  2. Step 2: Convert to fraction form
    14,659.16/21,952.28 = 10,256/x
  3. Step 3: Cross multiply
    14,659.16x = 21,952.28 × 10,256
  4. Step 4: Simplify right side
    14,659.16x = 225,142,583.68
  5. Step 5: Solve for x
    x = 225,142,583.68/14,659.16
  6. Step 6: Final answer
    x = 15,358.49

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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.