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Finding the Fourth Proportional to 12,619.14, 17,415 and 7,315.62

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Solution

The fourth proportional to 12,619.14, 17,415 and 7,315.62 is: 10,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619.14 : 17,415 = 7,315.62 : x
  2. Step 2: Convert to fraction form
    12,619.14/17,415 = 7,315.62/x
  3. Step 3: Cross multiply
    12,619.14x = 17,415 × 7,315.62
  4. Step 4: Simplify right side
    12,619.14x = 127,401,522.30
  5. Step 5: Solve for x
    x = 127,401,522.30/12,619.14
  6. Step 6: Final answer
    x = 10,095.90

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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.