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Finding the Fourth Proportional to 13,710.17, 20,565.44 and 4,825.78

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Solution

The fourth proportional to 13,710.17, 20,565.44 and 4,825.78 is: 7,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.17 : 20,565.44 = 4,825.78 : x
  2. Step 2: Convert to fraction form
    13,710.17/20,565.44 = 4,825.78/x
  3. Step 3: Cross multiply
    13,710.17x = 20,565.44 × 4,825.78
  4. Step 4: Simplify right side
    13,710.17x = 99,244,218.02
  5. Step 5: Solve for x
    x = 99,244,218.02/13,710.17
  6. Step 6: Final answer
    x = 7,238.73

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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.