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Finding the Fourth Proportional to 12,494.90, 17,240.12 and 7,460.75

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Solution

The fourth proportional to 12,494.90, 17,240.12 and 7,460.75 is: 10,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.90 : 17,240.12 = 7,460.75 : x
  2. Step 2: Convert to fraction form
    12,494.90/17,240.12 = 7,460.75/x
  3. Step 3: Cross multiply
    12,494.90x = 17,240.12 × 7,460.75
  4. Step 4: Simplify right side
    12,494.90x = 128,624,225.29
  5. Step 5: Solve for x
    x = 128,624,225.29/12,494.90
  6. Step 6: Final answer
    x = 10,294.14

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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.