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Finding the Fourth Proportional to 20,191.84, 30,274.80 and 13,258.24

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Solution

The fourth proportional to 20,191.84, 30,274.80 and 13,258.24 is: 19,878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191.84 : 30,274.80 = 13,258.24 : x
  2. Step 2: Convert to fraction form
    20,191.84/30,274.80 = 13,258.24/x
  3. Step 3: Cross multiply
    20,191.84x = 30,274.80 × 13,258.24
  4. Step 4: Simplify right side
    20,191.84x = 401,390,564.35
  5. Step 5: Solve for x
    x = 401,390,564.35/20,191.84
  6. Step 6: Final answer
    x = 19,878.85

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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.