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Finding the Fourth Proportional to 16,458.16, 24,682.54 and 5,365.82

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Solution

The fourth proportional to 16,458.16, 24,682.54 and 5,365.82 is: 8,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.16 : 24,682.54 = 5,365.82 : x
  2. Step 2: Convert to fraction form
    16,458.16/24,682.54 = 5,365.82/x
  3. Step 3: Cross multiply
    16,458.16x = 24,682.54 × 5,365.82
  4. Step 4: Simplify right side
    16,458.16x = 132,442,066.78
  5. Step 5: Solve for x
    x = 132,442,066.78/16,458.16
  6. Step 6: Final answer
    x = 8,047.20

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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.