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Finding the Fourth Proportional to 12,930.17, 19,394.49 and 4,609.75

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Solution

The fourth proportional to 12,930.17, 19,394.49 and 4,609.75 is: 6,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.17 : 19,394.49 = 4,609.75 : x
  2. Step 2: Convert to fraction form
    12,930.17/19,394.49 = 4,609.75/x
  3. Step 3: Cross multiply
    12,930.17x = 19,394.49 × 4,609.75
  4. Step 4: Simplify right side
    12,930.17x = 89,403,750.28
  5. Step 5: Solve for x
    x = 89,403,750.28/12,930.17
  6. Step 6: Final answer
    x = 6,914.35

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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.