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Finding the Fourth Proportional to 14,165.64, 21,249.60 and 13,973.76

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Solution

The fourth proportional to 14,165.64, 21,249.60 and 13,973.76 is: 20,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.64 : 21,249.60 = 13,973.76 : x
  2. Step 2: Convert to fraction form
    14,165.64/21,249.60 = 13,973.76/x
  3. Step 3: Cross multiply
    14,165.64x = 21,249.60 × 13,973.76
  4. Step 4: Simplify right side
    14,165.64x = 296,936,810.50
  5. Step 5: Solve for x
    x = 296,936,810.50/14,165.64
  6. Step 6: Final answer
    x = 20,961.76

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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.