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Finding the Fourth Proportional to 14,268.81, 19,689.27 and 7,894.56

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Solution

The fourth proportional to 14,268.81, 19,689.27 and 7,894.56 is: 10,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268.81 : 19,689.27 = 7,894.56 : x
  2. Step 2: Convert to fraction form
    14,268.81/19,689.27 = 7,894.56/x
  3. Step 3: Cross multiply
    14,268.81x = 19,689.27 × 7,894.56
  4. Step 4: Simplify right side
    14,268.81x = 155,438,054.41
  5. Step 5: Solve for x
    x = 155,438,054.41/14,268.81
  6. Step 6: Final answer
    x = 10,893.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.