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Finding the Fourth Proportional to 38,011.84, 57,016.59 and 15,824.65

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Solution

The fourth proportional to 38,011.84, 57,016.59 and 15,824.65 is: 23,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,011.84 : 57,016.59 = 15,824.65 : x
  2. Step 2: Convert to fraction form
    38,011.84/57,016.59 = 15,824.65/x
  3. Step 3: Cross multiply
    38,011.84x = 57,016.59 × 15,824.65
  4. Step 4: Simplify right side
    38,011.84x = 902,267,580.94
  5. Step 5: Solve for x
    x = 902,267,580.94/38,011.84
  6. Step 6: Final answer
    x = 23,736.49

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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.