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Finding the Fourth Proportional to 27,883.29, 41,829.45 and 9,157.89

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Solution

The fourth proportional to 27,883.29, 41,829.45 and 9,157.89 is: 13,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,883.29 : 41,829.45 = 9,157.89 : x
  2. Step 2: Convert to fraction form
    27,883.29/41,829.45 = 9,157.89/x
  3. Step 3: Cross multiply
    27,883.29x = 41,829.45 × 9,157.89
  4. Step 4: Simplify right side
    27,883.29x = 383,069,501.86
  5. Step 5: Solve for x
    x = 383,069,501.86/27,883.29
  6. Step 6: Final answer
    x = 13,738.32

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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.