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Finding the Fourth Proportional to 12,174.65, 18,262.50 and 4,780.72

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Solution

The fourth proportional to 12,174.65, 18,262.50 and 4,780.72 is: 7,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.65 : 18,262.50 = 4,780.72 : x
  2. Step 2: Convert to fraction form
    12,174.65/18,262.50 = 4,780.72/x
  3. Step 3: Cross multiply
    12,174.65x = 18,262.50 × 4,780.72
  4. Step 4: Simplify right side
    12,174.65x = 87,307,828.07
  5. Step 5: Solve for x
    x = 87,307,828.07/12,174.65
  6. Step 6: Final answer
    x = 7,171.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.