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Finding the Fourth Proportional to 14,112.11, 19,473.90 and 7,737.47

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Solution

The fourth proportional to 14,112.11, 19,473.90 and 7,737.47 is: 10,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.11 : 19,473.90 = 7,737.47 : x
  2. Step 2: Convert to fraction form
    14,112.11/19,473.90 = 7,737.47/x
  3. Step 3: Cross multiply
    14,112.11x = 19,473.90 × 7,737.47
  4. Step 4: Simplify right side
    14,112.11x = 150,678,717.03
  5. Step 5: Solve for x
    x = 150,678,717.03/14,112.11
  6. Step 6: Final answer
    x = 10,677.26

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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.