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Finding the Fourth Proportional to 30,005.24, 41,404.72 and 17,257.76

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Solution

The fourth proportional to 30,005.24, 41,404.72 and 17,257.76 is: 23,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.24 : 41,404.72 = 17,257.76 : x
  2. Step 2: Convert to fraction form
    30,005.24/41,404.72 = 17,257.76/x
  3. Step 3: Cross multiply
    30,005.24x = 41,404.72 × 17,257.76
  4. Step 4: Simplify right side
    30,005.24x = 714,552,720.63
  5. Step 5: Solve for x
    x = 714,552,720.63/30,005.24
  6. Step 6: Final answer
    x = 23,814.26

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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.