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Finding the Fourth Proportional to 16,181.96, 24,272.06 and 5,648.72

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Solution

The fourth proportional to 16,181.96, 24,272.06 and 5,648.72 is: 8,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.96 : 24,272.06 = 5,648.72 : x
  2. Step 2: Convert to fraction form
    16,181.96/24,272.06 = 5,648.72/x
  3. Step 3: Cross multiply
    16,181.96x = 24,272.06 × 5,648.72
  4. Step 4: Simplify right side
    16,181.96x = 137,106,070.76
  5. Step 5: Solve for x
    x = 137,106,070.76/16,181.96
  6. Step 6: Final answer
    x = 8,472.77

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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.