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Finding the Fourth Proportional to 14,134.50, 19,509.90 and 8,170.38

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Solution

The fourth proportional to 14,134.50, 19,509.90 and 8,170.38 is: 11,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.50 : 19,509.90 = 8,170.38 : x
  2. Step 2: Convert to fraction form
    14,134.50/19,509.90 = 8,170.38/x
  3. Step 3: Cross multiply
    14,134.50x = 19,509.90 × 8,170.38
  4. Step 4: Simplify right side
    14,134.50x = 159,403,296.76
  5. Step 5: Solve for x
    x = 159,403,296.76/14,134.50
  6. Step 6: Final answer
    x = 11,277.60

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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.