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Finding the Fourth Proportional to 16,499.88, 24,749.52 and 4,020

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Solution

The fourth proportional to 16,499.88, 24,749.52 and 4,020 is: 6,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.88 : 24,749.52 = 4,020 : x
  2. Step 2: Convert to fraction form
    16,499.88/24,749.52 = 4,020/x
  3. Step 3: Cross multiply
    16,499.88x = 24,749.52 × 4,020
  4. Step 4: Simplify right side
    16,499.88x = 99,493,070.40
  5. Step 5: Solve for x
    x = 99,493,070.40/16,499.88
  6. Step 6: Final answer
    x = 6,029.93

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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.