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Finding the Fourth Proportional to 38,233.32, 57,358.18 and 13,274.16

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Solution

The fourth proportional to 38,233.32, 57,358.18 and 13,274.16 is: 19,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,233.32 : 57,358.18 = 13,274.16 : x
  2. Step 2: Convert to fraction form
    38,233.32/57,358.18 = 13,274.16/x
  3. Step 3: Cross multiply
    38,233.32x = 57,358.18 × 13,274.16
  4. Step 4: Simplify right side
    38,233.32x = 761,381,658.63
  5. Step 5: Solve for x
    x = 761,381,658.63/38,233.32
  6. Step 6: Final answer
    x = 19,914.09

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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.