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Finding the Fourth Proportional to 16,455.38, 24,686.64 and 7,685.51

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Solution

The fourth proportional to 16,455.38, 24,686.64 and 7,685.51 is: 11,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.38 : 24,686.64 = 7,685.51 : x
  2. Step 2: Convert to fraction form
    16,455.38/24,686.64 = 7,685.51/x
  3. Step 3: Cross multiply
    16,455.38x = 24,686.64 × 7,685.51
  4. Step 4: Simplify right side
    16,455.38x = 189,729,295.15
  5. Step 5: Solve for x
    x = 189,729,295.15/16,455.38
  6. Step 6: Final answer
    x = 11,529.93

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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.