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Finding the Fourth Proportional to 13,863.51, 20,786.94 and 5,848.74

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Solution

The fourth proportional to 13,863.51, 20,786.94 and 5,848.74 is: 8,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.51 : 20,786.94 = 5,848.74 : x
  2. Step 2: Convert to fraction form
    13,863.51/20,786.94 = 5,848.74/x
  3. Step 3: Cross multiply
    13,863.51x = 20,786.94 × 5,848.74
  4. Step 4: Simplify right side
    13,863.51x = 121,577,407.46
  5. Step 5: Solve for x
    x = 121,577,407.46/13,863.51
  6. Step 6: Final answer
    x = 8,769.60

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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.