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Finding the Fourth Proportional to 14,446.24, 21,654 and 6,130.72

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Solution

The fourth proportional to 14,446.24, 21,654 and 6,130.72 is: 9,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.24 : 21,654 = 6,130.72 : x
  2. Step 2: Convert to fraction form
    14,446.24/21,654 = 6,130.72/x
  3. Step 3: Cross multiply
    14,446.24x = 21,654 × 6,130.72
  4. Step 4: Simplify right side
    14,446.24x = 132,754,610.88
  5. Step 5: Solve for x
    x = 132,754,610.88/14,446.24
  6. Step 6: Final answer
    x = 9,189.56

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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.