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Finding the Fourth Proportional to 16,433.63, 24,650.34 and 6,575.19

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Solution

The fourth proportional to 16,433.63, 24,650.34 and 6,575.19 is: 9,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.63 : 24,650.34 = 6,575.19 : x
  2. Step 2: Convert to fraction form
    16,433.63/24,650.34 = 6,575.19/x
  3. Step 3: Cross multiply
    16,433.63x = 24,650.34 × 6,575.19
  4. Step 4: Simplify right side
    16,433.63x = 162,080,669.06
  5. Step 5: Solve for x
    x = 162,080,669.06/16,433.63
  6. Step 6: Final answer
    x = 9,862.74

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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.