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Finding the Fourth Proportional to 12,846.16, 19,268.95 and 5,920.66

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Solution

The fourth proportional to 12,846.16, 19,268.95 and 5,920.66 is: 8,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.16 : 19,268.95 = 5,920.66 : x
  2. Step 2: Convert to fraction form
    12,846.16/19,268.95 = 5,920.66/x
  3. Step 3: Cross multiply
    12,846.16x = 19,268.95 × 5,920.66
  4. Step 4: Simplify right side
    12,846.16x = 114,084,901.51
  5. Step 5: Solve for x
    x = 114,084,901.51/12,846.16
  6. Step 6: Final answer
    x = 8,880.86

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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.