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Finding the Fourth Proportional to 27,809.94, 38,378.70 and 15,234.69

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Solution

The fourth proportional to 27,809.94, 38,378.70 and 15,234.69 is: 21,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.94 : 38,378.70 = 15,234.69 : x
  2. Step 2: Convert to fraction form
    27,809.94/38,378.70 = 15,234.69/x
  3. Step 3: Cross multiply
    27,809.94x = 38,378.70 × 15,234.69
  4. Step 4: Simplify right side
    27,809.94x = 584,687,597.10
  5. Step 5: Solve for x
    x = 584,687,597.10/27,809.94
  6. Step 6: Final answer
    x = 21,024.41

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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.