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Finding the Fourth Proportional to 13,275.97, 19,914.98 and 3,415.34

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Solution

The fourth proportional to 13,275.97, 19,914.98 and 3,415.34 is: 5,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275.97 : 19,914.98 = 3,415.34 : x
  2. Step 2: Convert to fraction form
    13,275.97/19,914.98 = 3,415.34/x
  3. Step 3: Cross multiply
    13,275.97x = 19,914.98 × 3,415.34
  4. Step 4: Simplify right side
    13,275.97x = 68,016,460.50
  5. Step 5: Solve for x
    x = 68,016,460.50/13,275.97
  6. Step 6: Final answer
    x = 5,123.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.