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Finding the Fourth Proportional to 29,762.72, 41,073.84 and 17,828

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Solution

The fourth proportional to 29,762.72, 41,073.84 and 17,828 is: 24,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.72 : 41,073.84 = 17,828 : x
  2. Step 2: Convert to fraction form
    29,762.72/41,073.84 = 17,828/x
  3. Step 3: Cross multiply
    29,762.72x = 41,073.84 × 17,828
  4. Step 4: Simplify right side
    29,762.72x = 732,264,419.52
  5. Step 5: Solve for x
    x = 732,264,419.52/29,762.72
  6. Step 6: Final answer
    x = 24,603.41

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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.