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Finding the Fourth Proportional to 12,617.68, 17,412.72 and 7,028.80

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Solution

The fourth proportional to 12,617.68, 17,412.72 and 7,028.80 is: 9,699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.68 : 17,412.72 = 7,028.80 : x
  2. Step 2: Convert to fraction form
    12,617.68/17,412.72 = 7,028.80/x
  3. Step 3: Cross multiply
    12,617.68x = 17,412.72 × 7,028.80
  4. Step 4: Simplify right side
    12,617.68x = 122,390,526.34
  5. Step 5: Solve for x
    x = 122,390,526.34/12,617.68
  6. Step 6: Final answer
    x = 9,699.92

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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.