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Finding the Fourth Proportional to 14,010, 21,016.02 and 4,014.60

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Solution

The fourth proportional to 14,010, 21,016.02 and 4,014.60 is: 6,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010 : 21,016.02 = 4,014.60 : x
  2. Step 2: Convert to fraction form
    14,010/21,016.02 = 4,014.60/x
  3. Step 3: Cross multiply
    14,010x = 21,016.02 × 4,014.60
  4. Step 4: Simplify right side
    14,010x = 84,370,913.89
  5. Step 5: Solve for x
    x = 84,370,913.89/14,010
  6. Step 6: Final answer
    x = 6,022.19

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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.