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Finding the Fourth Proportional to 27,343.24, 37,732.60 and 15,409

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Solution

The fourth proportional to 27,343.24, 37,732.60 and 15,409 is: 21,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,343.24 : 37,732.60 = 15,409 : x
  2. Step 2: Convert to fraction form
    27,343.24/37,732.60 = 15,409/x
  3. Step 3: Cross multiply
    27,343.24x = 37,732.60 × 15,409
  4. Step 4: Simplify right side
    27,343.24x = 581,421,633.40
  5. Step 5: Solve for x
    x = 581,421,633.40/27,343.24
  6. Step 6: Final answer
    x = 21,263.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.