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Finding the Fourth Proportional to 14,157, 21,235.68 and 4,923

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Solution

The fourth proportional to 14,157, 21,235.68 and 4,923 is: 7,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157 : 21,235.68 = 4,923 : x
  2. Step 2: Convert to fraction form
    14,157/21,235.68 = 4,923/x
  3. Step 3: Cross multiply
    14,157x = 21,235.68 × 4,923
  4. Step 4: Simplify right side
    14,157x = 104,543,252.64
  5. Step 5: Solve for x
    x = 104,543,252.64/14,157
  6. Step 6: Final answer
    x = 7,384.56

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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.