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Finding the Fourth Proportional to 14,384.19, 19,850.67 and 7,923.54

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Solution

The fourth proportional to 14,384.19, 19,850.67 and 7,923.54 is: 10,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.19 : 19,850.67 = 7,923.54 : x
  2. Step 2: Convert to fraction form
    14,384.19/19,850.67 = 7,923.54/x
  3. Step 3: Cross multiply
    14,384.19x = 19,850.67 × 7,923.54
  4. Step 4: Simplify right side
    14,384.19x = 157,287,577.77
  5. Step 5: Solve for x
    x = 157,287,577.77/14,384.19
  6. Step 6: Final answer
    x = 10,934.75

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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.