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Finding the Fourth Proportional to 27,360.84, 41,043.29 and 9,830.82

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Solution

The fourth proportional to 27,360.84, 41,043.29 and 9,830.82 is: 14,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,360.84 : 41,043.29 = 9,830.82 : x
  2. Step 2: Convert to fraction form
    27,360.84/41,043.29 = 9,830.82/x
  3. Step 3: Cross multiply
    27,360.84x = 41,043.29 × 9,830.82
  4. Step 4: Simplify right side
    27,360.84x = 403,489,147.04
  5. Step 5: Solve for x
    x = 403,489,147.04/27,360.84
  6. Step 6: Final answer
    x = 14,746.96

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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.