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Finding the Fourth Proportional to 19,865.94, 27,415.41 and 10,914

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Solution

The fourth proportional to 19,865.94, 27,415.41 and 10,914 is: 15,061.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865.94 : 27,415.41 = 10,914 : x
  2. Step 2: Convert to fraction form
    19,865.94/27,415.41 = 10,914/x
  3. Step 3: Cross multiply
    19,865.94x = 27,415.41 × 10,914
  4. Step 4: Simplify right side
    19,865.94x = 299,211,784.74
  5. Step 5: Solve for x
    x = 299,211,784.74/19,865.94
  6. Step 6: Final answer
    x = 15,061.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.