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Finding the Fourth Proportional to 27,985.62, 41,948.86 and 9,260.85

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Solution

The fourth proportional to 27,985.62, 41,948.86 and 9,260.85 is: 13,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.62 : 41,948.86 = 9,260.85 : x
  2. Step 2: Convert to fraction form
    27,985.62/41,948.86 = 9,260.85/x
  3. Step 3: Cross multiply
    27,985.62x = 41,948.86 × 9,260.85
  4. Step 4: Simplify right side
    27,985.62x = 388,482,100.13
  5. Step 5: Solve for x
    x = 388,482,100.13/27,985.62
  6. Step 6: Final answer
    x = 13,881.49

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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.