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Finding the Fourth Proportional to 16,216.29, 24,326.93 and 6,856.34

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Solution

The fourth proportional to 16,216.29, 24,326.93 and 6,856.34 is: 10,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.29 : 24,326.93 = 6,856.34 : x
  2. Step 2: Convert to fraction form
    16,216.29/24,326.93 = 6,856.34/x
  3. Step 3: Cross multiply
    16,216.29x = 24,326.93 × 6,856.34
  4. Step 4: Simplify right side
    16,216.29x = 166,793,598.74
  5. Step 5: Solve for x
    x = 166,793,598.74/16,216.29
  6. Step 6: Final answer
    x = 10,285.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.