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Finding the Fourth Proportional to 13,835.52, 19,092.96 and 7,548.48

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Solution

The fourth proportional to 13,835.52, 19,092.96 and 7,548.48 is: 10,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.52 : 19,092.96 = 7,548.48 : x
  2. Step 2: Convert to fraction form
    13,835.52/19,092.96 = 7,548.48/x
  3. Step 3: Cross multiply
    13,835.52x = 19,092.96 × 7,548.48
  4. Step 4: Simplify right side
    13,835.52x = 144,122,826.70
  5. Step 5: Solve for x
    x = 144,122,826.70/13,835.52
  6. Step 6: Final answer
    x = 10,416.87

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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.