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Finding the Fourth Proportional to 14,141.69, 19,518.42 and 8,172.53

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Solution

The fourth proportional to 14,141.69, 19,518.42 and 8,172.53 is: 11,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.69 : 19,518.42 = 8,172.53 : x
  2. Step 2: Convert to fraction form
    14,141.69/19,518.42 = 8,172.53/x
  3. Step 3: Cross multiply
    14,141.69x = 19,518.42 × 8,172.53
  4. Step 4: Simplify right side
    14,141.69x = 159,514,775.41
  5. Step 5: Solve for x
    x = 159,514,775.41/14,141.69
  6. Step 6: Final answer
    x = 11,279.76

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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.