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Finding the Fourth Proportional to 14,291.64, 21,434.22 and 3,904.20

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Solution

The fourth proportional to 14,291.64, 21,434.22 and 3,904.20 is: 5,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.64 : 21,434.22 = 3,904.20 : x
  2. Step 2: Convert to fraction form
    14,291.64/21,434.22 = 3,904.20/x
  3. Step 3: Cross multiply
    14,291.64x = 21,434.22 × 3,904.20
  4. Step 4: Simplify right side
    14,291.64x = 83,683,481.72
  5. Step 5: Solve for x
    x = 83,683,481.72/14,291.64
  6. Step 6: Final answer
    x = 5,855.41

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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.