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Finding the Fourth Proportional to 14,002.46, 21,007.79 and 4,142.00

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Solution

The fourth proportional to 14,002.46, 21,007.79 and 4,142.00 is: 6,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.46 : 21,007.79 = 4,142.00 : x
  2. Step 2: Convert to fraction form
    14,002.46/21,007.79 = 4,142.00/x
  3. Step 3: Cross multiply
    14,002.46x = 21,007.79 × 4,142.00
  4. Step 4: Simplify right side
    14,002.46x = 87,014,313.52
  5. Step 5: Solve for x
    x = 87,014,313.52/14,002.46
  6. Step 6: Final answer
    x = 6,214.22

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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.