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Finding the Fourth Proportional to 16,575.40, 24,863.10 and 6,709.60

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Solution

The fourth proportional to 16,575.40, 24,863.10 and 6,709.60 is: 10,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.40 : 24,863.10 = 6,709.60 : x
  2. Step 2: Convert to fraction form
    16,575.40/24,863.10 = 6,709.60/x
  3. Step 3: Cross multiply
    16,575.40x = 24,863.10 × 6,709.60
  4. Step 4: Simplify right side
    16,575.40x = 166,821,455.76
  5. Step 5: Solve for x
    x = 166,821,455.76/16,575.40
  6. Step 6: Final answer
    x = 10,064.40

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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.