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Finding the Fourth Proportional to 14,332.23, 19,778.22 and 7,958.84

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Solution

The fourth proportional to 14,332.23, 19,778.22 and 7,958.84 is: 10,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.23 : 19,778.22 = 7,958.84 : x
  2. Step 2: Convert to fraction form
    14,332.23/19,778.22 = 7,958.84/x
  3. Step 3: Cross multiply
    14,332.23x = 19,778.22 × 7,958.84
  4. Step 4: Simplify right side
    14,332.23x = 157,411,589.57
  5. Step 5: Solve for x
    x = 157,411,589.57/14,332.23
  6. Step 6: Final answer
    x = 10,983.05

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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.