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Finding the Fourth Proportional to 14,833.90, 20,465.74 and 9,169.91

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Solution

The fourth proportional to 14,833.90, 20,465.74 and 9,169.91 is: 12,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.90 : 20,465.74 = 9,169.91 : x
  2. Step 2: Convert to fraction form
    14,833.90/20,465.74 = 9,169.91/x
  3. Step 3: Cross multiply
    14,833.90x = 20,465.74 × 9,169.91
  4. Step 4: Simplify right side
    14,833.90x = 187,668,993.88
  5. Step 5: Solve for x
    x = 187,668,993.88/14,833.90
  6. Step 6: Final answer
    x = 12,651.36

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