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Finding the Fourth Proportional to 14,324.61, 19,767.65 and 7,950.83

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Solution

The fourth proportional to 14,324.61, 19,767.65 and 7,950.83 is: 10,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.61 : 19,767.65 = 7,950.83 : x
  2. Step 2: Convert to fraction form
    14,324.61/19,767.65 = 7,950.83/x
  3. Step 3: Cross multiply
    14,324.61x = 19,767.65 × 7,950.83
  4. Step 4: Simplify right side
    14,324.61x = 157,169,195.11
  5. Step 5: Solve for x
    x = 157,169,195.11/14,324.61
  6. Step 6: Final answer
    x = 10,971.97

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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.