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Finding the Fourth Proportional to 14,020.50, 19,348.29 and 7,732.88

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Solution

The fourth proportional to 14,020.50, 19,348.29 and 7,732.88 is: 10,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.50 : 19,348.29 = 7,732.88 : x
  2. Step 2: Convert to fraction form
    14,020.50/19,348.29 = 7,732.88/x
  3. Step 3: Cross multiply
    14,020.50x = 19,348.29 × 7,732.88
  4. Step 4: Simplify right side
    14,020.50x = 149,617,908.03
  5. Step 5: Solve for x
    x = 149,617,908.03/14,020.50
  6. Step 6: Final answer
    x = 10,671.37

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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.