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Finding the Fourth Proportional to 19,710.75, 29,548.54 and 7,227.86

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Solution

The fourth proportional to 19,710.75, 29,548.54 and 7,227.86 is: 10,835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.75 : 29,548.54 = 7,227.86 : x
  2. Step 2: Convert to fraction form
    19,710.75/29,548.54 = 7,227.86/x
  3. Step 3: Cross multiply
    19,710.75x = 29,548.54 × 7,227.86
  4. Step 4: Simplify right side
    19,710.75x = 213,572,710.32
  5. Step 5: Solve for x
    x = 213,572,710.32/19,710.75
  6. Step 6: Final answer
    x = 10,835.34

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