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Finding the Fourth Proportional to 14,016.52, 19,342.96 and 7,729

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Solution

The fourth proportional to 14,016.52, 19,342.96 and 7,729 is: 10,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.52 : 19,342.96 = 7,729 : x
  2. Step 2: Convert to fraction form
    14,016.52/19,342.96 = 7,729/x
  3. Step 3: Cross multiply
    14,016.52x = 19,342.96 × 7,729
  4. Step 4: Simplify right side
    14,016.52x = 149,501,737.84
  5. Step 5: Solve for x
    x = 149,501,737.84/14,016.52
  6. Step 6: Final answer
    x = 10,666.11

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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.