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Finding the Fourth Proportional to 14,749.65, 20,354.92 and 8,035.38

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Solution

The fourth proportional to 14,749.65, 20,354.92 and 8,035.38 is: 11,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,749.65 : 20,354.92 = 8,035.38 : x
  2. Step 2: Convert to fraction form
    14,749.65/20,354.92 = 8,035.38/x
  3. Step 3: Cross multiply
    14,749.65x = 20,354.92 × 8,035.38
  4. Step 4: Simplify right side
    14,749.65x = 163,559,496.98
  5. Step 5: Solve for x
    x = 163,559,496.98/14,749.65
  6. Step 6: Final answer
    x = 11,089.04

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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.