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Finding the Fourth Proportional to 14,638.28, 21,979.29 and 14,419.58

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Solution

The fourth proportional to 14,638.28, 21,979.29 and 14,419.58 is: 21,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.28 : 21,979.29 = 14,419.58 : x
  2. Step 2: Convert to fraction form
    14,638.28/21,979.29 = 14,419.58/x
  3. Step 3: Cross multiply
    14,638.28x = 21,979.29 × 14,419.58
  4. Step 4: Simplify right side
    14,638.28x = 316,932,130.50
  5. Step 5: Solve for x
    x = 316,932,130.50/14,638.28
  6. Step 6: Final answer
    x = 21,650.91

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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.