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Finding the Fourth Proportional to 14,612.48, 20,174.64 and 13,037.84

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Solution

The fourth proportional to 14,612.48, 20,174.64 and 13,037.84 is: 18,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.48 : 20,174.64 = 13,037.84 : x
  2. Step 2: Convert to fraction form
    14,612.48/20,174.64 = 13,037.84/x
  3. Step 3: Cross multiply
    14,612.48x = 20,174.64 × 13,037.84
  4. Step 4: Simplify right side
    14,612.48x = 263,033,728.38
  5. Step 5: Solve for x
    x = 263,033,728.38/14,612.48
  6. Step 6: Final answer
    x = 18,000.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.