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Finding the Fourth Proportional to 12,774.53, 17,628.73 and 7,109.19

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Solution

The fourth proportional to 12,774.53, 17,628.73 and 7,109.19 is: 9,810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.53 : 17,628.73 = 7,109.19 : x
  2. Step 2: Convert to fraction form
    12,774.53/17,628.73 = 7,109.19/x
  3. Step 3: Cross multiply
    12,774.53x = 17,628.73 × 7,109.19
  4. Step 4: Simplify right side
    12,774.53x = 125,325,867.34
  5. Step 5: Solve for x
    x = 125,325,867.34/12,774.53
  6. Step 6: Final answer
    x = 9,810.60

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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.