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Finding the Fourth Proportional to 16,429.12, 24,647.04 and 6,040.96

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Solution

The fourth proportional to 16,429.12, 24,647.04 and 6,040.96 is: 9,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429.12 : 24,647.04 = 6,040.96 : x
  2. Step 2: Convert to fraction form
    16,429.12/24,647.04 = 6,040.96/x
  3. Step 3: Cross multiply
    16,429.12x = 24,647.04 × 6,040.96
  4. Step 4: Simplify right side
    16,429.12x = 148,891,782.76
  5. Step 5: Solve for x
    x = 148,891,782.76/16,429.12
  6. Step 6: Final answer
    x = 9,062.68

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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.