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Finding the Fourth Proportional to 16,405.83, 24,608.88 and 7,037.97

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Solution

The fourth proportional to 16,405.83, 24,608.88 and 7,037.97 is: 10,557.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.83 : 24,608.88 = 7,037.97 : x
  2. Step 2: Convert to fraction form
    16,405.83/24,608.88 = 7,037.97/x
  3. Step 3: Cross multiply
    16,405.83x = 24,608.88 × 7,037.97
  4. Step 4: Simplify right side
    16,405.83x = 173,196,559.17
  5. Step 5: Solve for x
    x = 173,196,559.17/16,405.83
  6. Step 6: Final answer
    x = 10,557.01

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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.