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Finding the Fourth Proportional to 13,164.34, 19,746.52 and 3,930.34

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Solution

The fourth proportional to 13,164.34, 19,746.52 and 3,930.34 is: 5,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.34 : 19,746.52 = 3,930.34 : x
  2. Step 2: Convert to fraction form
    13,164.34/19,746.52 = 3,930.34/x
  3. Step 3: Cross multiply
    13,164.34x = 19,746.52 × 3,930.34
  4. Step 4: Simplify right side
    13,164.34x = 77,610,537.42
  5. Step 5: Solve for x
    x = 77,610,537.42/13,164.34
  6. Step 6: Final answer
    x = 5,895.51

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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.