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Finding the Fourth Proportional to 12,417.75, 17,136.41 and 7,041.20

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Solution

The fourth proportional to 12,417.75, 17,136.41 and 7,041.20 is: 9,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.75 : 17,136.41 = 7,041.20 : x
  2. Step 2: Convert to fraction form
    12,417.75/17,136.41 = 7,041.20/x
  3. Step 3: Cross multiply
    12,417.75x = 17,136.41 × 7,041.20
  4. Step 4: Simplify right side
    12,417.75x = 120,660,769.20
  5. Step 5: Solve for x
    x = 120,660,769.20/12,417.75
  6. Step 6: Final answer
    x = 9,716.80

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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.