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Finding the Fourth Proportional to 14,002.91, 21,004.40 and 4,142.94

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Solution

The fourth proportional to 14,002.91, 21,004.40 and 4,142.94 is: 6,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.91 : 21,004.40 = 4,142.94 : x
  2. Step 2: Convert to fraction form
    14,002.91/21,004.40 = 4,142.94/x
  3. Step 3: Cross multiply
    14,002.91x = 21,004.40 × 4,142.94
  4. Step 4: Simplify right side
    14,002.91x = 87,019,968.94
  5. Step 5: Solve for x
    x = 87,019,968.94/14,002.91
  6. Step 6: Final answer
    x = 6,214.42

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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.