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Finding the Fourth Proportional to 14,089.41, 19,443.02 and 7,716.06

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Solution

The fourth proportional to 14,089.41, 19,443.02 and 7,716.06 is: 10,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.41 : 19,443.02 = 7,716.06 : x
  2. Step 2: Convert to fraction form
    14,089.41/19,443.02 = 7,716.06/x
  3. Step 3: Cross multiply
    14,089.41x = 19,443.02 × 7,716.06
  4. Step 4: Simplify right side
    14,089.41x = 150,023,470.32
  5. Step 5: Solve for x
    x = 150,023,470.32/14,089.41
  6. Step 6: Final answer
    x = 10,647.96

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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.