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Finding the Fourth Proportional to 14,562.24, 21,844.08 and 4,174.24

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Solution

The fourth proportional to 14,562.24, 21,844.08 and 4,174.24 is: 6,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.24 : 21,844.08 = 4,174.24 : x
  2. Step 2: Convert to fraction form
    14,562.24/21,844.08 = 4,174.24/x
  3. Step 3: Cross multiply
    14,562.24x = 21,844.08 × 4,174.24
  4. Step 4: Simplify right side
    14,562.24x = 91,182,432.50
  5. Step 5: Solve for x
    x = 91,182,432.50/14,562.24
  6. Step 6: Final answer
    x = 6,261.57

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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.