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Finding the Fourth Proportional to 14,233.68, 19,642.80 and 7,946.07

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Solution

The fourth proportional to 14,233.68, 19,642.80 and 7,946.07 is: 10,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.68 : 19,642.80 = 7,946.07 : x
  2. Step 2: Convert to fraction form
    14,233.68/19,642.80 = 7,946.07/x
  3. Step 3: Cross multiply
    14,233.68x = 19,642.80 × 7,946.07
  4. Step 4: Simplify right side
    14,233.68x = 156,083,063.80
  5. Step 5: Solve for x
    x = 156,083,063.80/14,233.68
  6. Step 6: Final answer
    x = 10,965.76

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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.