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Finding the Fourth Proportional to 12,881, 17,775.78 and 7,293.08

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Solution

The fourth proportional to 12,881, 17,775.78 and 7,293.08 is: 10,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881 : 17,775.78 = 7,293.08 : x
  2. Step 2: Convert to fraction form
    12,881/17,775.78 = 7,293.08/x
  3. Step 3: Cross multiply
    12,881x = 17,775.78 × 7,293.08
  4. Step 4: Simplify right side
    12,881x = 129,640,185.60
  5. Step 5: Solve for x
    x = 129,640,185.60/12,881
  6. Step 6: Final answer
    x = 10,064.45

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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.