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Finding the Fourth Proportional to 21,676.02, 29,894.19 and 14,119.50

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Solution

The fourth proportional to 21,676.02, 29,894.19 and 14,119.50 is: 19,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.02 : 29,894.19 = 14,119.50 : x
  2. Step 2: Convert to fraction form
    21,676.02/29,894.19 = 14,119.50/x
  3. Step 3: Cross multiply
    21,676.02x = 29,894.19 × 14,119.50
  4. Step 4: Simplify right side
    21,676.02x = 422,091,015.71
  5. Step 5: Solve for x
    x = 422,091,015.71/21,676.02
  6. Step 6: Final answer
    x = 19,472.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.