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Finding the Fourth Proportional to 14,002.54, 21,007.91 and 4,142.08

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Solution

The fourth proportional to 14,002.54, 21,007.91 and 4,142.08 is: 6,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.54 : 21,007.91 = 4,142.08 : x
  2. Step 2: Convert to fraction form
    14,002.54/21,007.91 = 4,142.08/x
  3. Step 3: Cross multiply
    14,002.54x = 21,007.91 × 4,142.08
  4. Step 4: Simplify right side
    14,002.54x = 87,016,443.85
  5. Step 5: Solve for x
    x = 87,016,443.85/14,002.54
  6. Step 6: Final answer
    x = 6,214.33

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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.