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Finding the Fourth Proportional to 14,229.66, 19,637.24 and 7,856.24

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Solution

The fourth proportional to 14,229.66, 19,637.24 and 7,856.24 is: 10,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.66 : 19,637.24 = 7,856.24 : x
  2. Step 2: Convert to fraction form
    14,229.66/19,637.24 = 7,856.24/x
  3. Step 3: Cross multiply
    14,229.66x = 19,637.24 × 7,856.24
  4. Step 4: Simplify right side
    14,229.66x = 154,274,732.91
  5. Step 5: Solve for x
    x = 154,274,732.91/14,229.66
  6. Step 6: Final answer
    x = 10,841.77

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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.