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Finding the Fourth Proportional to 16,367.81, 24,551.71 and 10,820.00

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Solution

The fourth proportional to 16,367.81, 24,551.71 and 10,820.00 is: 16,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367.81 : 24,551.71 = 10,820.00 : x
  2. Step 2: Convert to fraction form
    16,367.81/24,551.71 = 10,820.00/x
  3. Step 3: Cross multiply
    16,367.81x = 24,551.71 × 10,820.00
  4. Step 4: Simplify right side
    16,367.81x = 265,649,536.53
  5. Step 5: Solve for x
    x = 265,649,536.53/16,367.81
  6. Step 6: Final answer
    x = 16,230.00

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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.