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Finding the Fourth Proportional to 16,346.09, 24,525.68 and 7,465.61

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Solution

The fourth proportional to 16,346.09, 24,525.68 and 7,465.61 is: 11,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346.09 : 24,525.68 = 7,465.61 : x
  2. Step 2: Convert to fraction form
    16,346.09/24,525.68 = 7,465.61/x
  3. Step 3: Cross multiply
    16,346.09x = 24,525.68 × 7,465.61
  4. Step 4: Simplify right side
    16,346.09x = 183,099,185.85
  5. Step 5: Solve for x
    x = 183,099,185.85/16,346.09
  6. Step 6: Final answer
    x = 11,201.40

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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.