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Finding the Fourth Proportional to 12,960.36, 19,446.03 and 6,386.58

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Solution

The fourth proportional to 12,960.36, 19,446.03 and 6,386.58 is: 9,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.36 : 19,446.03 = 6,386.58 : x
  2. Step 2: Convert to fraction form
    12,960.36/19,446.03 = 6,386.58/x
  3. Step 3: Cross multiply
    12,960.36x = 19,446.03 × 6,386.58
  4. Step 4: Simplify right side
    12,960.36x = 124,193,626.28
  5. Step 5: Solve for x
    x = 124,193,626.28/12,960.36
  6. Step 6: Final answer
    x = 9,582.58

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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.