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Finding the Fourth Proportional to 14,474.50, 21,699.43 and 13,785.59

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Solution

The fourth proportional to 14,474.50, 21,699.43 and 13,785.59 is: 20,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.50 : 21,699.43 = 13,785.59 : x
  2. Step 2: Convert to fraction form
    14,474.50/21,699.43 = 13,785.59/x
  3. Step 3: Cross multiply
    14,474.50x = 21,699.43 × 13,785.59
  4. Step 4: Simplify right side
    14,474.50x = 299,139,445.21
  5. Step 5: Solve for x
    x = 299,139,445.21/14,474.50
  6. Step 6: Final answer
    x = 20,666.65

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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.