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Finding the Fourth Proportional to 19,655.75, 27,124.94 and 10,823.75

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Solution

The fourth proportional to 19,655.75, 27,124.94 and 10,823.75 is: 14,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,655.75 : 27,124.94 = 10,823.75 : x
  2. Step 2: Convert to fraction form
    19,655.75/27,124.94 = 10,823.75/x
  3. Step 3: Cross multiply
    19,655.75x = 27,124.94 × 10,823.75
  4. Step 4: Simplify right side
    19,655.75x = 293,593,569.33
  5. Step 5: Solve for x
    x = 293,593,569.33/19,655.75
  6. Step 6: Final answer
    x = 14,936.78

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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.