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Finding the Fourth Proportional to 14,278.43, 21,405 and 5,507.30

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Solution

The fourth proportional to 14,278.43, 21,405 and 5,507.30 is: 8,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.43 : 21,405 = 5,507.30 : x
  2. Step 2: Convert to fraction form
    14,278.43/21,405 = 5,507.30/x
  3. Step 3: Cross multiply
    14,278.43x = 21,405 × 5,507.30
  4. Step 4: Simplify right side
    14,278.43x = 117,883,756.50
  5. Step 5: Solve for x
    x = 117,883,756.50/14,278.43
  6. Step 6: Final answer
    x = 8,256.07

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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.