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Finding the Fourth Proportional to 14,004.53, 21,004.64 and 6,211.97

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Solution

The fourth proportional to 14,004.53, 21,004.64 and 6,211.97 is: 9,317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.53 : 21,004.64 = 6,211.97 : x
  2. Step 2: Convert to fraction form
    14,004.53/21,004.64 = 6,211.97/x
  3. Step 3: Cross multiply
    14,004.53x = 21,004.64 × 6,211.97
  4. Step 4: Simplify right side
    14,004.53x = 130,480,162.48
  5. Step 5: Solve for x
    x = 130,480,162.48/14,004.53
  6. Step 6: Final answer
    x = 9,317.00

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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.