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Finding the Fourth Proportional to 14,343.90, 21,507.57 and 5,568.57

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Solution

The fourth proportional to 14,343.90, 21,507.57 and 5,568.57 is: 8,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,343.90 : 21,507.57 = 5,568.57 : x
  2. Step 2: Convert to fraction form
    14,343.90/21,507.57 = 5,568.57/x
  3. Step 3: Cross multiply
    14,343.90x = 21,507.57 × 5,568.57
  4. Step 4: Simplify right side
    14,343.90x = 119,766,409.07
  5. Step 5: Solve for x
    x = 119,766,409.07/14,343.90
  6. Step 6: Final answer
    x = 8,349.64

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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.