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Finding the Fourth Proportional to 17,077.50, 25,602.35 and 11,460.96

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Solution

The fourth proportional to 17,077.50, 25,602.35 and 11,460.96 is: 17,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.50 : 25,602.35 = 11,460.96 : x
  2. Step 2: Convert to fraction form
    17,077.50/25,602.35 = 11,460.96/x
  3. Step 3: Cross multiply
    17,077.50x = 25,602.35 × 11,460.96
  4. Step 4: Simplify right side
    17,077.50x = 293,427,451.95
  5. Step 5: Solve for x
    x = 293,427,451.95/17,077.50
  6. Step 6: Final answer
    x = 17,182.11

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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.