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Finding the Fourth Proportional to 14,294.72, 19,720.12 and 9,260.62

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Solution

The fourth proportional to 14,294.72, 19,720.12 and 9,260.62 is: 12,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.72 : 19,720.12 = 9,260.62 : x
  2. Step 2: Convert to fraction form
    14,294.72/19,720.12 = 9,260.62/x
  3. Step 3: Cross multiply
    14,294.72x = 19,720.12 × 9,260.62
  4. Step 4: Simplify right side
    14,294.72x = 182,620,537.67
  5. Step 5: Solve for x
    x = 182,620,537.67/14,294.72
  6. Step 6: Final answer
    x = 12,775.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.