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Finding the Fourth Proportional to 16,205.96, 24,312.20 and 5,114.36

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Solution

The fourth proportional to 16,205.96, 24,312.20 and 5,114.36 is: 7,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.96 : 24,312.20 = 5,114.36 : x
  2. Step 2: Convert to fraction form
    16,205.96/24,312.20 = 5,114.36/x
  3. Step 3: Cross multiply
    16,205.96x = 24,312.20 × 5,114.36
  4. Step 4: Simplify right side
    16,205.96x = 124,341,343.19
  5. Step 5: Solve for x
    x = 124,341,343.19/16,205.96
  6. Step 6: Final answer
    x = 7,672.57

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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.