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Finding the Fourth Proportional to 12,930.26, 19,357.12 and 7,984

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Solution

The fourth proportional to 12,930.26, 19,357.12 and 7,984 is: 11,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.26 : 19,357.12 = 7,984 : x
  2. Step 2: Convert to fraction form
    12,930.26/19,357.12 = 7,984/x
  3. Step 3: Cross multiply
    12,930.26x = 19,357.12 × 7,984
  4. Step 4: Simplify right side
    12,930.26x = 154,547,246.08
  5. Step 5: Solve for x
    x = 154,547,246.08/12,930.26
  6. Step 6: Final answer
    x = 11,952.37

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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.