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Finding the Fourth Proportional to 27,333.60, 41,000.40 and 9,805.20

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Solution

The fourth proportional to 27,333.60, 41,000.40 and 9,805.20 is: 14,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,333.60 : 41,000.40 = 9,805.20 : x
  2. Step 2: Convert to fraction form
    27,333.60/41,000.40 = 9,805.20/x
  3. Step 3: Cross multiply
    27,333.60x = 41,000.40 × 9,805.20
  4. Step 4: Simplify right side
    27,333.60x = 402,017,122.08
  5. Step 5: Solve for x
    x = 402,017,122.08/27,333.60
  6. Step 6: Final answer
    x = 14,707.80

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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.