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Finding the Fourth Proportional to 13,256.93, 18,293.47 and 7,805.13

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Solution

The fourth proportional to 13,256.93, 18,293.47 and 7,805.13 is: 10,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.93 : 18,293.47 = 7,805.13 : x
  2. Step 2: Convert to fraction form
    13,256.93/18,293.47 = 7,805.13/x
  3. Step 3: Cross multiply
    13,256.93x = 18,293.47 × 7,805.13
  4. Step 4: Simplify right side
    13,256.93x = 142,782,823.39
  5. Step 5: Solve for x
    x = 142,782,823.39/13,256.93
  6. Step 6: Final answer
    x = 10,770.43

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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.