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Finding the Fourth Proportional to 14,494.70, 21,751.20 and 6,174.72

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Solution

The fourth proportional to 14,494.70, 21,751.20 and 6,174.72 is: 9,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.70 : 21,751.20 = 6,174.72 : x
  2. Step 2: Convert to fraction form
    14,494.70/21,751.20 = 6,174.72/x
  3. Step 3: Cross multiply
    14,494.70x = 21,751.20 × 6,174.72
  4. Step 4: Simplify right side
    14,494.70x = 134,307,569.66
  5. Step 5: Solve for x
    x = 134,307,569.66/14,494.70
  6. Step 6: Final answer
    x = 9,265.98

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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.