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Finding the Fourth Proportional to 16,410, 24,624.72 and 7,049.76

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Solution

The fourth proportional to 16,410, 24,624.72 and 7,049.76 is: 10,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410 : 24,624.72 = 7,049.76 : x
  2. Step 2: Convert to fraction form
    16,410/24,624.72 = 7,049.76/x
  3. Step 3: Cross multiply
    16,410x = 24,624.72 × 7,049.76
  4. Step 4: Simplify right side
    16,410x = 173,598,366.07
  5. Step 5: Solve for x
    x = 173,598,366.07/16,410
  6. Step 6: Final answer
    x = 10,578.82

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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.