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Finding the Fourth Proportional to 13,034.82, 19,548.38 and 5,637.50

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Solution

The fourth proportional to 13,034.82, 19,548.38 and 5,637.50 is: 8,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.82 : 19,548.38 = 5,637.50 : x
  2. Step 2: Convert to fraction form
    13,034.82/19,548.38 = 5,637.50/x
  3. Step 3: Cross multiply
    13,034.82x = 19,548.38 × 5,637.50
  4. Step 4: Simplify right side
    13,034.82x = 110,203,866.32
  5. Step 5: Solve for x
    x = 110,203,866.32/13,034.82
  6. Step 6: Final answer
    x = 8,454.58

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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.