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Finding the Fourth Proportional to 38,372.84, 57,573.03 and 13,419.76

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Solution

The fourth proportional to 38,372.84, 57,573.03 and 13,419.76 is: 20,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,372.84 : 57,573.03 = 13,419.76 : x
  2. Step 2: Convert to fraction form
    38,372.84/57,573.03 = 13,419.76/x
  3. Step 3: Cross multiply
    38,372.84x = 57,573.03 × 13,419.76
  4. Step 4: Simplify right side
    38,372.84x = 772,615,957.21
  5. Step 5: Solve for x
    x = 772,615,957.21/38,372.84
  6. Step 6: Final answer
    x = 20,134.45

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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.