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Finding the Fourth Proportional to 16,289.21, 24,433.74 and 4,602.39

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Solution

The fourth proportional to 16,289.21, 24,433.74 and 4,602.39 is: 6,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.21 : 24,433.74 = 4,602.39 : x
  2. Step 2: Convert to fraction form
    16,289.21/24,433.74 = 4,602.39/x
  3. Step 3: Cross multiply
    16,289.21x = 24,433.74 × 4,602.39
  4. Step 4: Simplify right side
    16,289.21x = 112,453,600.64
  5. Step 5: Solve for x
    x = 112,453,600.64/16,289.21
  6. Step 6: Final answer
    x = 6,903.57

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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.