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Finding the Fourth Proportional to 27,460.84, 41,191.47 and 17,981.14

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Solution

The fourth proportional to 27,460.84, 41,191.47 and 17,981.14 is: 26,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,460.84 : 41,191.47 = 17,981.14 : x
  2. Step 2: Convert to fraction form
    27,460.84/41,191.47 = 17,981.14/x
  3. Step 3: Cross multiply
    27,460.84x = 41,191.47 × 17,981.14
  4. Step 4: Simplify right side
    27,460.84x = 740,669,588.88
  5. Step 5: Solve for x
    x = 740,669,588.88/27,460.84
  6. Step 6: Final answer
    x = 26,971.85

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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.