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Finding the Fourth Proportional to 13,928.13, 20,893.74 and 4,565.46

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Solution

The fourth proportional to 13,928.13, 20,893.74 and 4,565.46 is: 6,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928.13 : 20,893.74 = 4,565.46 : x
  2. Step 2: Convert to fraction form
    13,928.13/20,893.74 = 4,565.46/x
  3. Step 3: Cross multiply
    13,928.13x = 20,893.74 × 4,565.46
  4. Step 4: Simplify right side
    13,928.13x = 95,389,534.22
  5. Step 5: Solve for x
    x = 95,389,534.22/13,928.13
  6. Step 6: Final answer
    x = 6,848.70

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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.