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Finding the Fourth Proportional to 16,378.29, 24,573.81 and 6,518.56

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Solution

The fourth proportional to 16,378.29, 24,573.81 and 6,518.56 is: 9,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.29 : 24,573.81 = 6,518.56 : x
  2. Step 2: Convert to fraction form
    16,378.29/24,573.81 = 6,518.56/x
  3. Step 3: Cross multiply
    16,378.29x = 24,573.81 × 6,518.56
  4. Step 4: Simplify right side
    16,378.29x = 160,185,854.91
  5. Step 5: Solve for x
    x = 160,185,854.91/16,378.29
  6. Step 6: Final answer
    x = 9,780.38

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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.