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Finding the Fourth Proportional to 12,944.94, 17,867.28 and 7,641.42

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Solution

The fourth proportional to 12,944.94, 17,867.28 and 7,641.42 is: 10,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944.94 : 17,867.28 = 7,641.42 : x
  2. Step 2: Convert to fraction form
    12,944.94/17,867.28 = 7,641.42/x
  3. Step 3: Cross multiply
    12,944.94x = 17,867.28 × 7,641.42
  4. Step 4: Simplify right side
    12,944.94x = 136,531,390.74
  5. Step 5: Solve for x
    x = 136,531,390.74/12,944.94
  6. Step 6: Final answer
    x = 10,547.09

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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.