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Finding the Fourth Proportional to 16,458.24, 24,686.88 and 6,072

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Solution

The fourth proportional to 16,458.24, 24,686.88 and 6,072 is: 9,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.24 : 24,686.88 = 6,072 : x
  2. Step 2: Convert to fraction form
    16,458.24/24,686.88 = 6,072/x
  3. Step 3: Cross multiply
    16,458.24x = 24,686.88 × 6,072
  4. Step 4: Simplify right side
    16,458.24x = 149,898,735.36
  5. Step 5: Solve for x
    x = 149,898,735.36/16,458.24
  6. Step 6: Final answer
    x = 9,107.82

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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.