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Finding the Fourth Proportional to 14,784.14, 20,393.24 and 10,800.38

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Solution

The fourth proportional to 14,784.14, 20,393.24 and 10,800.38 is: 14,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.14 : 20,393.24 = 10,800.38 : x
  2. Step 2: Convert to fraction form
    14,784.14/20,393.24 = 10,800.38/x
  3. Step 3: Cross multiply
    14,784.14x = 20,393.24 × 10,800.38
  4. Step 4: Simplify right side
    14,784.14x = 220,254,741.43
  5. Step 5: Solve for x
    x = 220,254,741.43/14,784.14
  6. Step 6: Final answer
    x = 14,898.04

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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.