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Finding the Fourth Proportional to 14,568.96, 21,806.44 and 7,539.30

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Solution

The fourth proportional to 14,568.96, 21,806.44 and 7,539.30 is: 11,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.96 : 21,806.44 = 7,539.30 : x
  2. Step 2: Convert to fraction form
    14,568.96/21,806.44 = 7,539.30/x
  3. Step 3: Cross multiply
    14,568.96x = 21,806.44 × 7,539.30
  4. Step 4: Simplify right side
    14,568.96x = 164,405,274.24
  5. Step 5: Solve for x
    x = 164,405,274.24/14,568.96
  6. Step 6: Final answer
    x = 11,284.63

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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.