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Finding the Fourth Proportional to 16,415, 24,601.96 and 7,043.96

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Solution

The fourth proportional to 16,415, 24,601.96 and 7,043.96 is: 10,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415 : 24,601.96 = 7,043.96 : x
  2. Step 2: Convert to fraction form
    16,415/24,601.96 = 7,043.96/x
  3. Step 3: Cross multiply
    16,415x = 24,601.96 × 7,043.96
  4. Step 4: Simplify right side
    16,415x = 173,295,222.16
  5. Step 5: Solve for x
    x = 173,295,222.16/16,415
  6. Step 6: Final answer
    x = 10,557.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.