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Finding the Fourth Proportional to 14,784.38, 20,405.87 and 9,749.51

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Solution

The fourth proportional to 14,784.38, 20,405.87 and 9,749.51 is: 13,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.38 : 20,405.87 = 9,749.51 : x
  2. Step 2: Convert to fraction form
    14,784.38/20,405.87 = 9,749.51/x
  3. Step 3: Cross multiply
    14,784.38x = 20,405.87 × 9,749.51
  4. Step 4: Simplify right side
    14,784.38x = 198,947,082.85
  5. Step 5: Solve for x
    x = 198,947,082.85/14,784.38
  6. Step 6: Final answer
    x = 13,456.58

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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.