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Finding the Fourth Proportional to 14,041.87, 19,377.82 and 7,668.51

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Solution

The fourth proportional to 14,041.87, 19,377.82 and 7,668.51 is: 10,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.87 : 19,377.82 = 7,668.51 : x
  2. Step 2: Convert to fraction form
    14,041.87/19,377.82 = 7,668.51/x
  3. Step 3: Cross multiply
    14,041.87x = 19,377.82 × 7,668.51
  4. Step 4: Simplify right side
    14,041.87x = 148,599,128.44
  5. Step 5: Solve for x
    x = 148,599,128.44/14,041.87
  6. Step 6: Final answer
    x = 10,582.57

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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.