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Finding the Fourth Proportional to 13,627.93, 18,805.68 and 7,659.51

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Solution

The fourth proportional to 13,627.93, 18,805.68 and 7,659.51 is: 10,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.93 : 18,805.68 = 7,659.51 : x
  2. Step 2: Convert to fraction form
    13,627.93/18,805.68 = 7,659.51/x
  3. Step 3: Cross multiply
    13,627.93x = 18,805.68 × 7,659.51
  4. Step 4: Simplify right side
    13,627.93x = 144,042,294.02
  5. Step 5: Solve for x
    x = 144,042,294.02/13,627.93
  6. Step 6: Final answer
    x = 10,569.64

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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.