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Finding the Fourth Proportional to 27,465, 41,195.58 and 14,324.76

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Solution

The fourth proportional to 27,465, 41,195.58 and 14,324.76 is: 21,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465 : 41,195.58 = 14,324.76 : x
  2. Step 2: Convert to fraction form
    27,465/41,195.58 = 14,324.76/x
  3. Step 3: Cross multiply
    27,465x = 41,195.58 × 14,324.76
  4. Step 4: Simplify right side
    27,465x = 590,116,796.56
  5. Step 5: Solve for x
    x = 590,116,796.56/27,465
  6. Step 6: Final answer
    x = 21,486.14

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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.