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Finding the Fourth Proportional to 12,907.91, 17,814.15 and 7,242.67

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Solution

The fourth proportional to 12,907.91, 17,814.15 and 7,242.67 is: 9,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.91 : 17,814.15 = 7,242.67 : x
  2. Step 2: Convert to fraction form
    12,907.91/17,814.15 = 7,242.67/x
  3. Step 3: Cross multiply
    12,907.91x = 17,814.15 × 7,242.67
  4. Step 4: Simplify right side
    12,907.91x = 129,021,952.21
  5. Step 5: Solve for x
    x = 129,021,952.21/12,907.91
  6. Step 6: Final answer
    x = 9,995.58

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