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Finding the Fourth Proportional to 16,290.96, 24,438 and 4,604.40

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Solution

The fourth proportional to 16,290.96, 24,438 and 4,604.40 is: 6,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290.96 : 24,438 = 4,604.40 : x
  2. Step 2: Convert to fraction form
    16,290.96/24,438 = 4,604.40/x
  3. Step 3: Cross multiply
    16,290.96x = 24,438 × 4,604.40
  4. Step 4: Simplify right side
    16,290.96x = 112,522,327.20
  5. Step 5: Solve for x
    x = 112,522,327.20/16,290.96
  6. Step 6: Final answer
    x = 6,907.04

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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.