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Finding the Fourth Proportional to 14,262.90, 19,676.18 and 9,228.75

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Solution

The fourth proportional to 14,262.90, 19,676.18 and 9,228.75 is: 12,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.90 : 19,676.18 = 9,228.75 : x
  2. Step 2: Convert to fraction form
    14,262.90/19,676.18 = 9,228.75/x
  3. Step 3: Cross multiply
    14,262.90x = 19,676.18 × 9,228.75
  4. Step 4: Simplify right side
    14,262.90x = 181,586,484.20
  5. Step 5: Solve for x
    x = 181,586,484.20/14,262.90
  6. Step 6: Final answer
    x = 12,731.38

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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.