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Finding the Fourth Proportional to 38,013.70, 57,004.23 and 13,056.25

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Solution

The fourth proportional to 38,013.70, 57,004.23 and 13,056.25 is: 19,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013.70 : 57,004.23 = 13,056.25 : x
  2. Step 2: Convert to fraction form
    38,013.70/57,004.23 = 13,056.25/x
  3. Step 3: Cross multiply
    38,013.70x = 57,004.23 × 13,056.25
  4. Step 4: Simplify right side
    38,013.70x = 744,261,477.94
  5. Step 5: Solve for x
    x = 744,261,477.94/38,013.70
  6. Step 6: Final answer
    x = 19,578.77

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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.