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Finding the Fourth Proportional to 14,042.09, 19,377.71 and 7,668.85

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Solution

The fourth proportional to 14,042.09, 19,377.71 and 7,668.85 is: 10,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.09 : 19,377.71 = 7,668.85 : x
  2. Step 2: Convert to fraction form
    14,042.09/19,377.71 = 7,668.85/x
  3. Step 3: Cross multiply
    14,042.09x = 19,377.71 × 7,668.85
  4. Step 4: Simplify right side
    14,042.09x = 148,604,712.99
  5. Step 5: Solve for x
    x = 148,604,712.99/14,042.09
  6. Step 6: Final answer
    x = 10,582.81

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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.