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Finding the Fourth Proportional to 16,288.96, 24,433.37 and 4,602.14

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Solution

The fourth proportional to 16,288.96, 24,433.37 and 4,602.14 is: 6,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.96 : 24,433.37 = 4,602.14 : x
  2. Step 2: Convert to fraction form
    16,288.96/24,433.37 = 4,602.14/x
  3. Step 3: Cross multiply
    16,288.96x = 24,433.37 × 4,602.14
  4. Step 4: Simplify right side
    16,288.96x = 112,445,766.40
  5. Step 5: Solve for x
    x = 112,445,766.40/16,288.96
  6. Step 6: Final answer
    x = 6,903.19

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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.