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Finding the Fourth Proportional to 16,406.01, 24,610.64 and 6,543.18

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Solution

The fourth proportional to 16,406.01, 24,610.64 and 6,543.18 is: 9,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.01 : 24,610.64 = 6,543.18 : x
  2. Step 2: Convert to fraction form
    16,406.01/24,610.64 = 6,543.18/x
  3. Step 3: Cross multiply
    16,406.01x = 24,610.64 × 6,543.18
  4. Step 4: Simplify right side
    16,406.01x = 161,031,814.72
  5. Step 5: Solve for x
    x = 161,031,814.72/16,406.01
  6. Step 6: Final answer
    x = 9,815.42

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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.