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Finding the Fourth Proportional to 12,774.24, 17,628.48 and 7,185.60

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Solution

The fourth proportional to 12,774.24, 17,628.48 and 7,185.60 is: 9,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.24 : 17,628.48 = 7,185.60 : x
  2. Step 2: Convert to fraction form
    12,774.24/17,628.48 = 7,185.60/x
  3. Step 3: Cross multiply
    12,774.24x = 17,628.48 × 7,185.60
  4. Step 4: Simplify right side
    12,774.24x = 126,671,205.89
  5. Step 5: Solve for x
    x = 126,671,205.89/12,774.24
  6. Step 6: Final answer
    x = 9,916.14

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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.