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Finding the Fourth Proportional to 38,013.84, 57,029.16 and 13,053.32

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Solution

The fourth proportional to 38,013.84, 57,029.16 and 13,053.32 is: 19,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013.84 : 57,029.16 = 13,053.32 : x
  2. Step 2: Convert to fraction form
    38,013.84/57,029.16 = 13,053.32/x
  3. Step 3: Cross multiply
    38,013.84x = 57,029.16 × 13,053.32
  4. Step 4: Simplify right side
    38,013.84x = 744,419,874.81
  5. Step 5: Solve for x
    x = 744,419,874.81/38,013.84
  6. Step 6: Final answer
    x = 19,582.86

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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.