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Finding the Fourth Proportional to 14,004.33, 21,009.76 and 6,213.75

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Solution

The fourth proportional to 14,004.33, 21,009.76 and 6,213.75 is: 9,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.33 : 21,009.76 = 6,213.75 : x
  2. Step 2: Convert to fraction form
    14,004.33/21,009.76 = 6,213.75/x
  3. Step 3: Cross multiply
    14,004.33x = 21,009.76 × 6,213.75
  4. Step 4: Simplify right side
    14,004.33x = 130,549,380.67
  5. Step 5: Solve for x
    x = 130,549,380.67/14,004.33
  6. Step 6: Final answer
    x = 9,322.07

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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.