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Finding the Fourth Proportional to 14,002.71, 21,004.32 and 4,141.98

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Solution

The fourth proportional to 14,002.71, 21,004.32 and 4,141.98 is: 6,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.71 : 21,004.32 = 4,141.98 : x
  2. Step 2: Convert to fraction form
    14,002.71/21,004.32 = 4,141.98/x
  3. Step 3: Cross multiply
    14,002.71x = 21,004.32 × 4,141.98
  4. Step 4: Simplify right side
    14,002.71x = 86,999,473.35
  5. Step 5: Solve for x
    x = 86,999,473.35/14,002.71
  6. Step 6: Final answer
    x = 6,213.05

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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.