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Finding the Fourth Proportional to 12,960.71, 19,444.71 and 4,196.31

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Solution

The fourth proportional to 12,960.71, 19,444.71 and 4,196.31 is: 6,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.71 : 19,444.71 = 4,196.31 : x
  2. Step 2: Convert to fraction form
    12,960.71/19,444.71 = 4,196.31/x
  3. Step 3: Cross multiply
    12,960.71x = 19,444.71 × 4,196.31
  4. Step 4: Simplify right side
    12,960.71x = 81,595,950.23
  5. Step 5: Solve for x
    x = 81,595,950.23/12,960.71
  6. Step 6: Final answer
    x = 6,295.64

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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.