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Finding the Fourth Proportional to 13,258.34, 19,844.22 and 9,747.42

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Solution

The fourth proportional to 13,258.34, 19,844.22 and 9,747.42 is: 14,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.34 : 19,844.22 = 9,747.42 : x
  2. Step 2: Convert to fraction form
    13,258.34/19,844.22 = 9,747.42/x
  3. Step 3: Cross multiply
    13,258.34x = 19,844.22 × 9,747.42
  4. Step 4: Simplify right side
    13,258.34x = 193,429,946.91
  5. Step 5: Solve for x
    x = 193,429,946.91/13,258.34
  6. Step 6: Final answer
    x = 14,589.30

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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.