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Finding the Fourth Proportional to 14,015.61, 19,340.24 and 7,727.94

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Solution

The fourth proportional to 14,015.61, 19,340.24 and 7,727.94 is: 10,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.61 : 19,340.24 = 7,727.94 : x
  2. Step 2: Convert to fraction form
    14,015.61/19,340.24 = 7,727.94/x
  3. Step 3: Cross multiply
    14,015.61x = 19,340.24 × 7,727.94
  4. Step 4: Simplify right side
    14,015.61x = 149,460,175.67
  5. Step 5: Solve for x
    x = 149,460,175.67/14,015.61
  6. Step 6: Final answer
    x = 10,663.84

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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.