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Finding the Fourth Proportional to 14,016.87, 21,029.09 and 4,658.40

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Solution

The fourth proportional to 14,016.87, 21,029.09 and 4,658.40 is: 6,988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.87 : 21,029.09 = 4,658.40 : x
  2. Step 2: Convert to fraction form
    14,016.87/21,029.09 = 4,658.40/x
  3. Step 3: Cross multiply
    14,016.87x = 21,029.09 × 4,658.40
  4. Step 4: Simplify right side
    14,016.87x = 97,961,889.56
  5. Step 5: Solve for x
    x = 97,961,889.56/14,016.87
  6. Step 6: Final answer
    x = 6,988.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.